https://sfb-higher-invariants.app.uni-regensburg.de/api.php?action=feedcontributions&feedformat=atom&user=Pol65357SFB1085 - Higher Invariants - User contributions [en]2026-05-14T02:28:15ZUser contributionsMediaWiki 1.39.11https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Research&diff=3291Research2025-10-13T08:30:20Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
{{Template:Topics}}<br />
<br />
{{Template:Projects and principal investigators}}<br />
<br />
== Publications/Preprints (in reverse chronological order) ==<br />
<br />
=== 2025 ===<br />
<br />
* [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. Localisation theorems for the connective K-theory of exact categories, [https://arxiv.org/abs/2510.07170 arXiv:2510.07170]; 10/2025.<br />
<br />
* C. Dahlhausen, [https://www.jeroenhekking.nl/ J. Hekking], S. Wolters. Motivic homotopy theory for perfect schemes, [https://arxiv.org/abs/2510.01390 arXiv:2510.01390]; 10/2025.<br />
<br />
* [https://www.uni-regensburg.de/mathematics/mathematics-lockman/ S. Lockman] Semi-Riemannian spin^c manifolds carrying generalized Killing spinors and the classification of Riemannian spin^c manifolds admitting a type I imaginary generalized Killing spinor, [https://arxiv.org/abs/2509.08477 arXiv:2509.08477]; 09/2025.<br />
<br />
* [https://hoyois.app.ur.de M. Hoyois], M. Land. Grothendieck-Witt theory of derived schemes, [https://arxiv.org/abs/2508.08905 arXiv:2508.08905]; 08/2025.<br />
<br />
* [https://kevinlimath.wordpress.com/ K. Li], [https://loeh.app.ur.de C. L&ouml;h], M. Moraschini, R. Sauer, [https://matthiasuschold.gitlab.io/ M. Uschold]. The cheap embedding principle: Dynamical upper bounds for homology growth, [https://arxiv.org/abs/2508.01347 arXiv:2508.01347]; 08/2025.<br />
<br />
* M. Barrero, T. Barthel, [https://sites.google.com/view/lucapol/home L. Pol] , N. Strickland amd J. Williamson. The spectrum of global representations for families of bounded rank and VI-modules, [https://arxiv.org/abs/2506.21525, arxiv:2506.21525]; 07/2025<br />
<br />
* C. Dahlhausen, [https://www.jeroenhekking.nl/ J. Hekking], S. Wolters. Duality for KGL-modules in motivic homotopy theory, [https://arxiv.org/abs/2508.00064 arXiv:2508.00064]; 07/2025.<br />
<br />
* M. Barrero, T. Barthel, [https://sites.google.com/view/lucapol/home L. Pol] , N. Strickland amd J. Williamson. Global representation theory: Homological foundations, [https://arxiv.org/abs/2505.21449, arxiv:2505.21449]; 06/2025<br />
<br />
*Z. Li, [https://sites.google.com/view/ysqin/ Y.Qin]. F-isocrystals of Higher Direct Images of p-Divisible Groups, [https://arxiv.org/abs/2506.11736 arXiv:2506.11736]; 06/2025<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz]. Algebraic flat connections and o-minimality, [https://arxiv.org/abs/2506.07498 arXiv:2506.07498]; 06/2025<br />
<br />
* [https://tessbouis.com/ T. Bouis], A. Kundu. Beilinson--Lichtenbaum phenomenon for motivic cohomology, [https://arxiv.org/abs/2506.09910 arXiv:2506.09910]; 06/2025<br />
<br />
* [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. Hinich's model for Day convolution revisited, [https://arxiv.org/abs/2506.06025 arXiv:2506.06025]; 06/2025<br />
<br />
* M. Nielsen, [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. The presentable stable envelope of an exact category, [https://arxiv.org/abs/2506.02598 arXiv:2506.02598]; 06/2025<br />
<br />
* P. Capovilla, [https://kevinlimath.wordpress.com/ K. Li], [https://loeh.app.uni-regensburg.de/ C. Löh]. Combination of open covers with $\pi_1$-constraints, [https://arxiv.org/abs/2505.04292 arXiv:2505.04292]; 05/2025.<br />
<br />
*[https://homepages.uni-regensburg.de/~glj57400/ J. Glöckle], Initial data rigidity implies spacetime rigidity, [https://arxiv.org/abs/2504.16095 arXiv:2504.16095]; 04/2025<br />
<br />
* [https://sites.google.com/view/chenyinglin/%E9%A6%96%E9%A1%B5 C. Lin], G. Zémor. Kneser's theorem for codes and ℓ-divisible set families. [https://arxiv.org/abs/2504.19304 arXiv:2504.19304]; 04/2025<br />
<br />
* [https://kevinlimath.wordpress.com/ K. Li], M. Moraschini, G. Raptis. The Serre spectral sequence in bounded cohomology, [https://arxiv.org/abs/2503.22505 arXiv:2503.22505]; 03/2025.<br />
<br />
* [https://webusers.imj-prg.fr/~antoine.sedillot/ A. Sédillot] Topological adelic curves: algebraic coverings, geometry of numbers and heights of closed points. [https://arxiv.org/abs/2503.20156 arXiv:2503.20156]; 03/2025<br />
<br />
* M. Ramzi, [https://vova-sosnilo.com/ V. Sosnilo], [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. Every motive is the motive of a stable &infin;-category, [https://arxiv.org/abs/2503.11338 arXiv:2503.11338]; 03/2025<br />
<br />
* E. Elmanto, D. Kubrak, [https://vova-sosnilo.com/ V. Sosnilo]. On filtered algebraic K-theory of stacks I: characteristic zero, [https://arxiv.org/abs/2503.09928 arXiv:2503.09928]; 03/2025<br />
<br />
* [https://kevinlimath.wordpress.com/ K. Li], L. Sanchez Saldana. A note on finiteness properties of vertex stabilisers, [https://arxiv.org/abs/2502.14751 arXiv:2502.14751]; 02/2025.<br />
<br />
* V. Saunier, [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. On exact categories and their stable envelopes. [https://arxiv.org/abs/2502.03408 arXiv:2502.03408]; 02/2025<br />
<br />
* S. Balchin, J.P.C Greenlees, [https://sites.google.com/view/lucapol/home L. Pol] and J. Williamson. Torsion models for tensor-triangulated categories, [https://arxiv.org/abs/2501.05180 arXiv:2501.05180]; 01/2025<br />
<br />
=== 2024 ===<br />
* [https://sites.google.com/view/chenyinglin/%E9%A6%96%E9%A1%B5 C. Lin] , Galois orbits of torsion points over polytopes near atoral sets. [https://arxiv.org/abs/2412.11156 arXiv:2412.11156]; 12/2024<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], S. Bastl, T. Hirsch, [https://loeh.app.ur.de C. L&ouml;h], L. Munser, P. Perras, L. Schamback, [https://homepages.uni-regensburg.de/~usm34387/ M. Uschold] et al. Algorithms in 4-manifold topology, [https://arxiv.org/abs/2411.08775 arXiv:2411.08775 math.GT]; 11/2022<br />
<br />
* N. Naumann, [https://sites.google.com/view/lucapol/home L. Pol], Maxime Ramzi, Separable commutative algebras in equivariant homotopy theory. [https://arxiv.org/abs/2411.06845 arXiv:2411.06845];11/2024<br />
<br />
* N. Naumann, [https://sites.google.com/view/lucapol/home L. Pol], Maxime Ramzi, A symmetric monoidal fracture square. [https://arxiv.org/abs/2411.05467 arXiv:2411.05467];11/2024<br />
<br />
* [https://webusers.imj-prg.fr/~antoine.sedillot/ A. Sédillot] Pseudo-absolute values: foundations. [https://arxiv.org/abs/2411.03905 arXiv:2411.03905]; 11/2024<br />
<br />
* U. Bunke, M. Ludewig, Coronas and Callias type operators in coarse geometry [https://arxiv.org/abs/2411.01646 arXiv:2411.01646]; 11/2024<br />
<br />
* [https://hoyois.app.ur.de M. Hoyois]. Remarks on the motivic sphere without A^1-invariance, [https://arxiv.org/abs/2410.16757 arxiv:2410.16757]; 10/2024<br />
<br />
* N. Deshmukh, [https://sites.google.com/view/surajyadav/ S. Yadav]. A^1- connected stacky curves and the Brauer group of moduli of elliptic curves, [https://arxiv.org/abs/2410.01525 arxiv:2410.01525]; 10/2024<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz]. A non-abelian version of Deligne's Fixed Part Theorem, [https://arxiv.org/abs/2408.13910 arXiv:2408.13910]; 08/2024.<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], F. Misev, A. Zupan, Bounding the ribbon numbers of knots and links , [https://arxiv.org/abs/2408.11618 arXiv:2408.11618 math.GT]; 08/2024<br />
<br />
* [https://kevinlimath.wordpress.com/ K. Li], [https://loeh.app.ur.de C. L&ouml;h], M. Moraschini, R. Sauer, [https://homepages.uni-regensburg.de/~usm34387/ M. Uschold]. The algebraic cheap rebuilding property, [https://arxiv.org/abs/2409.05774 arXiv:2409.05774]; 09/2024.<br />
<br />
* [https://homepages.uni-regensburg.de/~hof61178/ F. Hofmann] A vanishing criterion for cup products and Massey products in bounded cohomology. [https://arxiv.org/pdf/2407.17034 arXiv:2407.17034];07/2024<br />
<br />
*Magnus Carlson, Peter Haine, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Reconstruction of schemes from their étale topoi, [https://arxiv.org/abs/2407.19920 2407.19920]; 07/2024.<br />
<br />
* [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], R. Haugseng, T. Lenz, S. Linskens. Normed equivariant ring spectra and higher Tambara functors, [https://arxiv.org/abs/2407.08399 arXiv:2407.08399]; 07/2024<br />
<br />
*Adrian Clough, [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], S. Linskens. Global spaces and the homotopy theory of stacks, [https://arxiv.org/abs/2407.06877 arXiv:2407.06877]; 07/2024<br />
<br />
*D. Gepner, S. Linskens, [https://sites.google.com/view/lucapol/home L. Pol] Global 2-rings and genuine refinements. [https://arxiv.org/pdf/2407.05124 arXiv:2407.05124];07/2024<br />
<br />
*Z. Li, [https://sites.google.com/view/ysqin/ Y.Qin]. On p-torsions of geometric Brauer groups, [https://arxiv.org/abs/2406.19518 arXiv:2406.19518]; 06/2024<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], G. Tamme. A remark on crystalline cohomology. [https://arxiv.org/abs/2406.19772 arXiv:2406.19772]; 06/2024<br />
<br />
*F. Hebestreit, M. Land, M. Weiss, [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. Homology manifolds and euclidean bundles [https://arxiv.org/abs/2406.14677 arXiv:2406.14677]; 06/2024<br />
<br />
* [https://homepages.uni-regensburg.de/~kuh45866/ H. Kufner]. Deligne's conjecture on the critical values of Hecke L-functions [https://arxiv.org/abs/2406.06148 arXiv:2406.06148]; 06/2024<br />
<br />
*A. Moroianu, [https://pilca.app.uni-regensburg.de/ M. Pilca]. Conformal product structures on compact Kähler manifolds [https://arxiv.org/abs/2405.08430 arxiv.org/abs/2405.08430]; 05/2024<br />
<br />
*M. Ludewig, Categories of Lagrangian Correspondences in Super Hilbert Spaces and Fermionic Functorial Field Theory; [https://arxiv.org/abs/2212.02956 arXiv:2212.02956]; 03/2024.<br />
<br />
*P. Kristel, M. Ludewig, [http://math.konradwaldorf.de/ K. Waldorf], The stringor bundle; [https://arxiv.org/abs/2206.09797 arXiv:2206.09797]; 04/2024.<br />
<br />
* [https://sites.google.com/view/ysqin/ Y.Qin]. On the Brauer groups of fibrations. Math. Z. 307, 18 (2024), [https://doi.org/10.1007/s00209-024-03487-8 published version]; 04/2024<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kalelkar, J. Quintanilha, Writhe invariants of 3-regular spatial graphs , [https://arxiv.org/abs/2404.09649 arXiv:2404.09649 math.GT]; 04/2024<br />
<br />
*[https://www.math.cit.tum.de/en/algebra/karlsson/ E. Karlsson], [https://www.math.cit.tum.de/en/algebra/scheimbauer/ C. I. Scheimbauer], [https://www.math.cit.tum.de/en/algebra/personen/walde/ T. Walde]. Assembly of constructible factorization algebras, [https://arxiv.org/abs/2403.19472 arXiv:2403.19472]; 03/2024<br />
<br />
*M. Ludewig, The Clifford Algebra Bundle on Loop Space; [https://arxiv.org/abs/2204.00798 arXiv:2204.00798]; 03/2024.<br />
<br />
*T. Annala, [https://hoyois.app.ur.de M. Hoyois], R. Iwasa. Atiyah duality for motivic spectra, [https://arxiv.org/abs/2403.01561 arXiv:2403.01561 math.AG]; 03/2024<br />
<br />
*[https://sites.google.com/view/bastiaan-cnossen B. Cnossen], T. Lenz, S. Linskens. Parametrized higher semiadditivity and the universality of spans, [https://arxiv.org/abs/2403.07676 arXiv:2403.07676]; 03/2024 <br />
<br />
*[https://sites.google.com/view/bastiaan-cnossen B. Cnossen], R. Haugseng, T. Lenz, S. Linskens. Homotopical commutative rings and bispans, [https://arxiv.org/abs/2403.06911 arXiv:2403.06911]; 03/2024<br />
<br />
*M. Ramzi, [https://vova-sosnilo.com/ V. Sosnilo], [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. Every spectrum is the K-theory of a stable &infin;-category, [https://arxiv.org/abs/2401.06510 arXiv:2401.06510]; 01/2024<br />
<br />
*N. Naumann, [https://sites.google.com/view/lucapol/home L. Pol], Separable commutative algebras and Galois theory in stable homotopy theories. [https://arxiv.org/abs/2305.01259 arXiv:2305.01259]; Advances in Mathematics 1/2024<br />
<br />
===2023===<br />
<br />
*H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz]. Semi-stable Lefschetz Pencils, [https://arxiv.org/abs/2311.15886 arXiv:2311.15886]; 11/2023<br />
<br />
*L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Proper morphisms of infinity-topoi, [https://arxiv.org/abs/2311.08051 arxiv:2311.08051]; 11/2023.<br />
<br />
*[https://sites.google.com/view/bastiaan-cnossen B. Cnossen], T. Lenz, S. Linskens. The Adams isomorphism revisited, [https://arxiv.org/abs/2311.04884 arXiv:2311.04884]; 11/2023<br />
<br />
*B. Ammann, C.Löh, [http://www.berndammann.de/publications/minimal-geodesics/ A quadratic lower bound for the number of minimal geodesics], [https://arxiv.org/abs/2311.01626 arXiv:2311.01626]; 11/2023.<br />
<br />
*A. Moroianu, [https://pilca.app.uni-regensburg.de/ M. Pilca]. Einstein metrics on conformal products [https://arxiv.org/abs/2311.03744 arxiv:311.03744]; 11/2023.<br />
<br />
*M. Pippi. On some (co)homological invariants of coherent matrix factorizations, J. Noncommut. Geom. (2023), arXiv version: [https://arxiv.org/abs/2011.14740]; 08/2023.<br />
<br />
*P. Kristel, M. Ludewig, [http://math.konradwaldorf.de/ K. Waldorf], A representation of the string 2-group; [https://arxiv.org/abs/2308.05139 arXiv:2308.05139]; 8/2023.<br />
<br />
*M. Ludewig, [http://faculty.bicmr.pku.edu.cn/~guochuanthiang/ G. C. Thiang], Quantization of conductance and the coarse cohomology of partitions; [https://arxiv.org/abs/2308.02819 arXiv:2308.02819]; 8/2023.<br />
<br />
*[https://homepages.uni-regensburg.de/~glj57400/ J. Glöckle], Initial data sets with dominant energy condition admitting no smooth DEC spacetime extension, [https://arxiv.org/abs/2308.00643 arXiv:2308.00643]; 08/2023<br />
<br />
*[https://loeh.app.ur.de C. L&ouml;h], [https://graptismath.net G. Raptis]. A roadmap to the (vanishing of the) Euler characteristic, [https://arxiv.org/abs/2306.16933 arXiv:2306.16933 math.GT]; the poster version can be found [https://go.ur.de/euler-roadmap here]; 06/2023<br />
<br />
* M. Ludewig, The spinor bundle on loop space; [https://arxiv.org/abs/2305.12521 arXiv:2305.12521]; 5/2023.<br />
<br />
*[https://loeh.app.ur.de C. L&ouml;h]. Exponential growth rates in hyperbolic groups (after Koji Fujiwara and Zlil Sela), Exposée 1206 for the Séminaire Bourbaki (April 2023), [https://arxiv.org/abs/2304.04424 arXiv:2304.04424 math.GR]; 04/2023 <br />
<br />
*[https://homepages.uni-regensburg.de/~glj57400/index.html J. Glöckle], Initial data rigidity via Dirac-Witten operators, [https://arxiv.org/abs/2304.02331 arXiv:2304.02331 math.DG]; 04/2023.<br />
<br />
*R. Gualdi, M. Sombra. Limit heights and special values of the Riemann zeta function, [https://arxiv.org/abs/2304.01966 arXiv:2304.01966 math.NT]; 04/2023.<br />
<br />
*P. Haine, Tim Holzschuh, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Nonabelian base change theorems & étale homotopy theory, [https://arxiv.org/abs/2304.00938 arXiv:2304.00938 math.AG]; 04/2023.<br />
<br />
* A. Moroianu, [https://pilca.app.uni-regensburg.de/ M. Pilca]. Adapted metrics on locally conformally product manifolds [https://arxiv.org/abs/2305.00185 arxiv:2305.00185]; 04/2023<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], K. Ince, When does the table theorem imply a solution to the square peg problem?, [https://arxiv.org/abs/2303.17711 arXiv:2303.17711 math.GT]; 03/2023<br />
<br />
*Tobias Barthel, Natalia Castellana, Drew Heard, Niko Naumann, [https://sites.google.com/view/lucapol/home L. Pol], Beren Sanders, Descent in tensor triangular geometry. [https://arxiv.org/abs/2305.02308 arXiv:2305.02308]; Proceedings of the Abel Symposium 2022, 3/2023<br />
<br />
*L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Internal higher topos theory, [https://arxiv.org/abs/2303.06437 arXiv:2303.06437 math.CT]; 03/2023.<br />
<br />
*T. Annala, [https://hoyois.app.uni-regensburg.de M. Hoyois], R. Iwasa. Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory, [https://arxiv.org/abs/2303.02051 arXiv:2303.02051 math.AG]; 03/2023. To appear in J. Amer. Math. Soc.<br />
<br />
*M. Grant, [https://kevinlimath.wordpress.com/ K. Li], E. Meir, I. Patchkoria. Comparison of equivariant cohomological dimensions, [https://arxiv.org/abs/2302.08574 arXiv:2302.08574 math.AT]; 02/2023.<br />
<br />
*D. Beraldo, M. Pippi. Non-commutative nature of ℓ-adic vanishing cycles, [https://arxiv.org/abs/2302.10120 arXiv:2302.10120 math.AG]; 02/2023. <br />
<br />
*[https://homepages.uni-regensburg.de/~gur23971/ R. Gualdi]. ¿Cu&aacute;ntas ra&iacute;ces de la unidad anulan un polinomio en dos variables?, La Gaceta de la Real Sociedad Matem&aacute;tica Espa&ntilde;ola 26 (2023), 149 — 172; 02/2023 (divulgative article)<br />
<br />
*[https://loeh.app.ur.de C. L&ouml;h]. A comment on the structure of graded modules over graded principal ideal domains in the context of persistent homology, [https://arxiv.org/abs/2301.11756 arXiv:2301.11756 math.AC]; 01/2023<br />
<br />
*M. Christ, T. Dyckerhoff, [https://www.math.cit.tum.de/en/algebra/personen/walde/ T. Walde]. Lax additivity, [https://arxiv.org/abs/2402.12251 arXiv:2402.12251]; 01/2023.<br />
<br />
*M. Christ, T. Dyckerhoff, [https://www.math.cit.tum.de/en/algebra/personen/walde/ T. Walde]. Complexes of stable ∞-categories, [https://arxiv.org/abs/2301.02606 arXiv:2301.02606]; 01/2023.<br />
<br />
*T. Barthel, N. Castellana, D. Heard, [https://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [https://sites.google.com/view/lucapol/home L. Pol] Quillen stratification in equivariant homotopy theory.[https://arxiv.org/abs/2301.02212 ArXiv:2301.02212], to appear in Inventiones Mathematicae;01/2023<br />
<br />
===2022===<br />
*A. Hogadi, S. Yadav. A^1-connectivity of moduli of vector bundles on a curve. [https://arxiv.org/abs/2110.05799 arXiv:2110.05799v2]; 12/22 (updated and final version)<br />
<br />
*[https://homepages.uni-regensburg.de/~usm34387/ M. Uschold].Torsion homology growth and cheap rebuilding of inner-amenablegroups, [https://arxiv.org/abs/2212.07916 arXiv: 2212.07916math.GR]; 12/2022.<br />
<br />
*D. Beraldo, M. Pippi. Non-commutative intersection theory and unipotent Deligne-Milnor formula, [https://arxiv.org/abs/2211.11717 arXiv:2211.11717 math.AG]; 11/2022.<br />
<br />
*[https://homepages.uni-regensburg.de/~glj57400/index.html J. Glöckle], An Enlargeability Obstruction for Spacetimes with both Big Bang and Big Crunch, [https://arxiv.org/abs/2111.02656 arXiv:2111.02656 math.DG]; 11/2022. <br />
<br />
*[https://loeh.app.ur.de C. L&ouml;h], G. Sartori. Integral foliated simplicial volume and ergodic decomposition, [https://arxiv.org/abs/2211.00337 arXiv:2211.00337 math.GT]; 11/2022<br />
<br />
*[https://vova-sosnilo.com/ V. Sosnilo]. A^1-invariance of localizing invariants, [https://arxiv.org/abs/2211.05602 arXiv:2211.05602]; 10/2022; to appear in Journal of K-theory<br />
<br />
*[https://hoyois.app.uni-regensburg.de M. Hoyois], Joachim Jelisiejew, [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], [https://www.muramatik.com M. Yakerson]. Hermitian K-theory via oriented Gorenstein algebras. [https://arxiv.org/abs/2103.15474 arXiv:2103.15474]; 09/2022 <br />
<br />
*D.-C. Cisinski, M. Pippi. Étale tame vanishing cycles over [A^1_S/G_{m,S}], [https://arxiv.org/abs/2209.13381 arXiv:2209.13381]; 09/2022.<br />
<br />
*[https://loeh.app.ur.de C. L&ouml;h], [https://homepages.uni-regensburg.de/~prj05723/ J. Witzig]. Universal finite functorial semi-norms, [https://arxiv.org/abs/2209.12971 arXiv:2209.12971 math.CT]; 09/2022<br />
<br />
*P. Kristel, M. Ludewig, [http://math.konradwaldorf.de/ K. Waldorf], 2-vector bundles; [https://arxiv.org/abs/2106.12198 arXiv:2106.12198]; 9/2022.<br />
<br />
*L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Presentable categories internal to an infinity-topos, [https://arxiv.org/abs/2209.05103 arxiv:2209.05103 math.CT]; 09/2022<br />
<br />
* U. Bunke, M. Ludewig, Breaking symmetries for equivariant coarse homology theories [https://arxiv.org/abs/2112.11535 arXiv:2112.11535]; 12/2021<br />
<br />
*P. Haine, Tim Holzschuh, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], The fundamental fiber sequence in étale homotopy theory, [https://doi.org/10.1093/imrn/rnad018 International Mathematics Research Notices]<br />
<br />
*[https://loeh.app.ur.de C. L&ouml;h]. Exploring Formalisation. A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology, Surveys and Tutorials in the Applied Mathematical Sciences, volume 11, Springer, [https://doi.org/10.1007/978-3-031-14649-7 DOI 10.1007/978-3-031-14649-7], [https://loeh.app.uni-regensburg.de/exploring-formalisation/ project homepage (including Lean src)], 09/2022. <br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, J. Rathore, Tame class field theory over local fields, [https://arxiv.org/abs/2209.02953 arXiv:2209.02953]; 09/2022<br />
<br />
*[https://people.math.ethz.ch/~bbrueck/ B. Br&uuml;ck], [https://people.math.ethz.ch/~fournief/ F. Fournier Facio], [https://loeh.app.ur.de C. L&ouml;h]. Median quasimorphisms on CAT(0) cube complexes and their cup products, [https://arxiv.org/abs/2209.05811 arXiv:2209.05811 math.GR]; 09/2022<br />
<br />
*B. Ammann, [http://www.berndammann.de/publications/diracharm3/ On Triviality of Dirac-harmonic maps], [https://arxiv.org/abs/2209.03074 arXiv:2209.03074]; 09/2022.<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, M. Suzuki, Blanchfield pairings and Gordian distance , [https://arxiv.org/abs/2208.13327 arXiv:2208.13327 math.GT]; 08/2022<br />
<br />
*P. Kristel, M. Ludewig, [http://math.konradwaldorf.de/ K. Waldorf], The insidious bicategory of algebra bundles; [https://arxiv.org/abs/2204.03900 arXiv:2204.03900]; 4/2022. <br />
<br />
*S. Linskens, D. Nardin, [https://sites.google.com/view/lucapol/home L. Pol]. Global homotopy theory via partially lax limits. [https://arxiv.org/abs/2206.01556 arXiv:2206.01556]; to appear in Geometry and Topology, 06/2022<br />
<br />
*[https://ithems.riken.jp/en/members/yosuke-kubota Y. Kubota], M. Ludewig, [http://faculty.bicmr.pku.edu.cn/~guochuanthiang/ G. C. Thiang], Delocalized spectra of Landau operators on helical surfaces; [https://arxiv.org/abs/2201.05416 arXiv:2201.05416]; 06/2022.<br />
<br />
*[https://loeh.app.ur.de C. L&ouml;h]. The spectrum of simplicial volume with fixed fundamental group, [https://arxiv.org/abs/2205.14877 arXiv:2205.14877 math.GT]; 05/2022<br />
<br />
*[https://www.uni-regensburg.de/mathematics/mathematics-pippi/startseite/index.html M. Pippi]. On the structure of dg categories of relative singularities, updated version [https://arxiv.org/abs/1911.01332 arXiv:1911.01332v2]; 05/2022<br />
<br />
*[https://hk-nguyen-math.github.io H.K. Nguyen], Taichi Uemura. ∞-type theories, [https://arxiv.org/abs/2205.00798 arXiv:2205.00789]; 05/2022<br />
<br />
*M. Ludewig, [http://faculty.bicmr.pku.edu.cn/~guochuanthiang/ G. C. Thiang], Large-scale geometry obstructs localization; [https://arxiv.org/abs/2204.12895 arXiv:2204.12895]; 5/2022.<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], C. Kausik, J. P. Quintanilha. An algorithm to calculate generalized Seifert matrices, [https://arxiv.org/abs/2204.10004 arXiv:2204.10004 math.GT]; 04/2022<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], [https://homepages.uni-regensburg.de/~mif57716/index.html F. Misev], R. Zentner. Rational homology ribbon cobordism is a partial order, [https://arxiv.org/abs/2204.10730 arXiv:2204.10730 math.GT]; 04/2022<br />
<br />
*Y. Fang, [https://gubler.app.uni-regensburg.de/ W. Gubler], [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html K. Künnemann]. On the non-archimedean Monge-Ampère equation in mixed characteristic. [https://arxiv.org/abs/2203.12282 arXiv:2203.12282]; 03/2022 <br />
<br />
*[https://homepages.uni-regensburg.de/~prj05723/ J. Witzig]. Abstract Excision and ℓ¹-Homology, [https://arxiv.org/abs/2203.06120 arXiv:2203.06120 math.AT]; 03/2022<br />
<br />
*[https://kevinlimath.wordpress.com/ K. Li], C. L&ouml;h, M. Moraschini. Bounded acyclicity and relative simplicial volume, [https://arxiv.org/abs/2202.05606 arXiv:2202.05606 math.AT]; 02/2022<br />
<br />
*C. L&ouml;h, [https://homepages.uni-regensburg.de/~usm34387 M. Uschold]. L^2-Betti numbers and computability of reals, [https://arxiv.org/abs/2202.03159 arXiv:2202.03159 math.GR]; 02/2022<br />
<br />
===2021===<br />
<br />
*C. L&ouml;h, M. Moraschini, [https://topology.math.kit.edu/21_53.php R. Sauer]. Amenable covers and integral foliated simplicial volume, [https://arxiv.org/abs/2112.12223 arXiv:2112.12223 math.GT]; 12/2021<br />
<br />
*L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Limits and colimits in internal higher category theory, [https://arxiv.org/abs/2111.14495 arxiv:2111.14495 math.CT]; 11/2021 <br />
<br />
*[https://people.math.ethz.ch/~fournief/ F. Fournier Facio], C. L&ouml;h, M. Moraschini. Bounded cohomology and binate groups, [https://arxiv.org/abs/2111.04305 arXiv:2111.04305 math.GR]; 11/2021<br />
<br />
*M. Ludewig, [http://faculty.bicmr.pku.edu.cn/~guochuanthiang/ G. C. Thiang], Cobordism invariance of topological edge-following states; [https://arxiv.org/abs/2001.08339 arXiv:2001.08339];10/2021.<br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, J. Rathore, A decomposition theorem for 0-cycles and applications, [https://arxiv.org/abs/2109.10037 arXiv:2109.10037]; 09/2021<br />
<br />
*C. L&ouml;h, M. Moraschini, [https://www.graptismath.net G. Raptis]. On the simplicial volume and the Euler characteristic of (aspherical) manifolds, [https://arxiv.org/abs/2109.08115 arXiv:2109.08115 math.AT]; 09/2021<br />
<br />
* A. A. Khan, C. Ravi. Generalized cohomology theories for algebraic stacks. [https://arxiv.org/abs/2106.15001 arXiv:2106.15001]; 06/2021<br />
<br />
*[https://people.math.ethz.ch/~fournief/ F. Fournier Facio], C. L&ouml;h, M. Moraschini. Bounded cohomology of finitely generated groups: vanishing, non-vanishing, and computability, [https://arxiv.org/abs/2106.13567 arXiv:2106.13567 math.GR]; 06/2021 <br />
<br />
*[https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. Local Gorenstein duality in chromatic group cohomology. [https://arxiv.org/abs/2106.08669 arXiv:2106.08669]; 06/2021<br />
<br />
*A. Moroianu, [https://pilca.app.uni-regensburg.de/ M. Pilca]. Conformal vector fields on lcK manifolds [https://arxiv.org/abs/2106.06851 arxiv:2106.06851]; 06/2021<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], [https://homepages.uni-regensburg.de/~mul37549/ L. Munser], J. P. Quintanilha, Y. Santos Rego. Canonical decompositions and algorithmic recognition of spatial graphs, [https://arxiv.org/abs/2105.06905 arXiv:2105.06905 math.GT]; 05/2021<br />
<br />
*M. Moraschini, [https://graptismath.net/index.html G. Raptis]. Amenability and acyclicity in bounded cohomology theory, [https://arxiv.org/abs/2105.02821 arXiv:2105.02821 math.AT]; 05/2021<br />
<br />
*C. L&ouml;h, M. Moraschini. Topological volumes of fibrations: A note on open covers, [https://arxiv.org/abs/2104.06038 arXiv:2104.06038 math.GT]; 04/2021<br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Ramified class field theory and duality over finite fields, [https://arxiv.org/abs/2104.03029 arXiv:2104.03029]; 04/2021<br />
<br />
*[https://graptismath.net/index.html G. Raptis]. Bounded cohomology and homotopy colimits, [https://arxiv.org/abs/2103.15614 arXiv:2103.15614]; 03/2021<br />
<br />
* B. Ammann, [http://homepages.uni-regensburg.de/~glj57400/ J. Glöckle], Dominant energy condition and spinors on Lorentzian manifolds, [https://arxiv.org/abs/2103.11032 arXiv:2103.11032]; 03/2021.<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz], S. Saito, G. Tamme. K-theory of non-archimedean rings II. [https://arxiv.org/abs/2103.06711 arXiv:2103.06711]; 03/2021 <br />
<br />
*[https://hk-nguyen-math.github.io/ H. K. Nguyen], [https://graptismath.net/index.html G. Raptis], C. Schrade. Higher weak (co)limits, adjoint functor theorems, and higher Brown representability, [https://arxiv.org/abs/2103.06003 arXiv:2103.06003]; 03/2021<br />
<br />
*F. Hanisch, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold. [https://arxiv.org/abs/1709.10027 arXiv:1709.10027]; 03/2021<br />
<br />
*F. Hanisch, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. The Fermionic integral on loop space and the Pfaffian line bundle. [https://arxiv.org/abs/1709.10028 arXiv:1709.10028]; 03/2021<br />
<br />
*B. Güneysu, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. The Chern Character of theta-summable Fredholm Modules over dg Algebras and Localization on Loop Space. [https://arxiv.org/abs/1901.04721 arXiv:1901.04721]; 03/2021<br />
<br />
*J.I. Burgos Gil, [https://gubler.app.uni-regensburg.de/ W. Gubler], P. Jell, [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html K. Künnemann]. Pluripotential theory for tropical toric varieties and non-archimedean Monge-Ampére equations. [https://arxiv.org/abs/2102.07392 arXiv:2102.07392]; 02/2021<br />
<br />
*[https://sites.google.com/view/lucapol/home L. Pol], N.P. Strickland. Representation stability and outer automorphism groups. [https://arxiv.org/abs/2102.06410 arxiv:2102.06410]; 02/2021<br />
<br />
*T. Fenzl. Extended skeletons of poly-stable pairs, [https://arxiv.org/abs/2102.05130 arxiv:2102.05130]; 02/2021<br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Idele class groups with modulus, [https://arxiv.org/abs/2101.04609 arXiv:2101.04609]; 01/2021<br />
<br />
*H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz]. Local systems with quasi-unipotent monodromy at infinity are dense, [https://arxiv.org/abs/2101.00487 arXiv:2101.00487]; 01/2021<br />
<br />
===2020===<br />
<br />
*[https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], The pro-étale topos as a category of pyknotic presheaves, [https://arxiv.org/abs/2012.10502 arXiv:2012.10502] Doc. Math. 27, 2067-2106 (2022) 12/2020<br />
<br />
* A. Moroianu, [https://pilca.app.uni-regensburg.de/ M. Pilca]. Metric connections with parallel twistor-free torsion [https://arxiv.org/abs/2012.10882 arXiv:2012.10882 math.DG]; 12/2020<br />
<br />
*B. Ammann, J. Mougel, V. Nistor. A regularity result for the bound states of N-body Schrödinger operators: Blow-ups and Lie manifolds [https://arxiv.org/abs/2012.13902 arXiv:2012.13902]; 12/2020.<br />
<br />
*J.I. Burgos Gil, [https://sites.google.com/view/souvikgoswami S. Goswami], G. Pearlstein. Height Pairing on Higher Cycles and Mixed Hodge Structures. Proceedings of the London Mathematical Society, 125 (2022), Issue 1, 61-170 [https://doi.org/10.1112/plms.12443].<br />
<br />
*P. Capovilla, M. Moraschini, C. L&ouml;h. Amenable category and complexity, [https://arxiv.org/abs/2012.00612 arXiv:2012.00612]; 12/2020.<br />
<br />
*S.Balchin, J.P.C. Greenlees, [https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. Torsion model for tensor triangulated categories: the one-step case. [https://arxiv.org/abs/2011.10413 arXiv:2011.10413]; 11/2020<br />
<br />
*[https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. The homotopy theory of complete modules. [https://arxiv.org/abs/2011.06989 arXiv:2011.06989]; 11/2020<br />
<br />
*S. Boucksom, [https://gubler.app.uni-regensburg.de/ W. Gubler], F. Martin. Non-Archimedean volumes of metrized nef line bundles. [https://arxiv.org/abs/2011.06986 arXiv:2011.06986]; 11/2020 <br />
<br />
*T. Bachmann, A. A. Khan, C. Ravi, V. Sosnilo. Categorical Milnor squares and K-theory of algebraic stacks. [https://arxiv.org/abs/2011.04355 arXiv:2011.04355]; 11/2020<br />
<br />
*P. Dolce, [https://homepages.uni-regensburg.de/~gur23971/ R. Gualdi], Numerical equivalence of ℝ-divisors and Shioda-Tate formula for arithmetic varieties, [https://arxiv.org/abs/2010.16134 arXiv:2010.16134]; 10/2020<br />
<br />
* N. Heuer, C. L&ouml;h, The spectrum of simplicial volume of non-compact manifolds, [https://arxiv.org/abs/2010.12945 arXiv:2010.12945]; 10/2020.<br />
<br />
*[https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], Z. Yi, A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, [https://arxiv.org/abs/2010.05892 arXiv:2010.05892]; 10/2020.<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], C. L&ouml;h, Epimorphism testing with virtually Abelian targets, [https://arxiv.org/abs/2010.07537 arXiv:2010.07537]; 10/2020.<br />
<br />
*N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], New upper bounds for spherical codes and packings, [https://arxiv.org/abs/2001.00185 arXiv:2001.00185]; 09/2020<br />
<br />
*C. Ravi, B. Sreedhar. Virtual equivariant Grothendieck-Riemann-Roch formula. [https://arxiv.org/abs/2009.09697 arXiv:2009.09697]; 09/2020<br />
<br />
*B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings [http://arxiv.org/abs/2009.07225 arXiv:2009.07225]; 09/2020<br />
<br />
*[https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry. [https://arxiv.org/abs/2009.07688 arXiv:2009.07688]; 09/2020..<br />
<br />
*B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity [https://arxiv.org/abs/2009.07224 arXiv:2009.07224]; 09/2020<br />
<br />
*B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories I: Foundations [http://arxiv.org/abs/2009.07223 arXiv:2009.07223]; 09/2020<br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], Motivic invariants of symmetric powers, [https://arxiv.org/abs/2009.06986 arxiv:2009.06986]; 09/2020<br />
<br />
*[https://hoyois.app.uni-regensburg.de M. Hoyois], Joachim Jelisiejew, [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], Burt Totaro, [https://www.muramatik.com M. Yakerson]. The Hilbert scheme of infinite affine space and algebraic K-theory. [https://arxiv.org/abs/2002.11439 arXiv:2002.11439]; 09/2020 <br />
<br />
*Y. Kezuka, Tamagawa number divisibility of central L-values of twists of the Fermat elliptic curve. [https://arxiv.org/abs/2003.02772 arXiv:2003.02772 math.NT]; 08/2020<br />
<br />
*E. Elmanto, [https://homepages.uni-regensburg.de/~nad22969/research.php D. Nardin] and L. Yang. A descent view on Mitchell's theorem [https://arxiv.org/abs/2008.02821 arXiv:2008.02821]; 08/2020<br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Reciprocity for Kato-Saito idele class group with modulus, [https://arxiv.org/abs/2008.05719 arXiv:2008.05719]; 08/2020<br />
<br />
*S. Baader, R. Blair, A. Kjuchukova and [https://homepages.uni-regensburg.de/~mif57716/ F. Misev]. The bridge number of arborescent links with many twigs. [https://arxiv.org/abs/2008.00763 arXiv:2008.00763]; 08/2020<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, L. Lewark, M. Nagel and M. Powell. Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials. [https://arxiv.org/abs/2007.15289 arXiv:2007.15289]; 08/2020<br />
<br />
* G. Herrmann and J. P. Quintanilha. The Complex of Hypersurfaces in a Homology Class. [https://arxiv.org/abs/2007.00522 arXiv:2007.00522]; 07/2020<br />
<br />
*[https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], S. Roos. The Chiral Anomaly of the Free Fermion in Functorial Field Theory. [https://arxiv.org/abs/2010.05892 arXiv:2010.05892]; Ann. Henri Poincare, 21:1191-1233, 06/2020.<br />
<br />
*[https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Good Wannier bases in Hilbert modules associated to topological insulators. [https://arxiv.org/abs/1904.13051 arXiv:1904.13051]; J. Math. Phys., 61, 061902, 06/2020.<br />
<br />
*A. Galateau and [https://cesar-martinez-math.weebly.com C. Martínez]. Homothéties explicites des représentations ℓ-adiques. [https://arxiv.org/abs/2006.07401 arXiv:2006.07401]; 06/2020<br />
<br />
*H. Esnault and M. Kerz. Density of Arithmetic Representations of Function Fields. [https://arxiv.org/abs/2005.12819 arXiv:2005.12819]; 05/2020<br />
<br />
*S. Boucksom, [https://gubler.app.uni-regensburg.de/ W. Gubler], F. Martin. Differentiability of relative volumes over an arbitrary non-archimedean field. [https://arxiv.org/abs/2004.03847 arXiv:2004.03847]; 04/2020<br />
<br />
*[https://ekvv.uni-bielefeld.de/pers_publ/publ/PersonDetail.jsp?personId=412153703&lang=en A. M. Botero] and J. I. Burgos Gil. Toroidal b-divisors and Monge-Ampére measures. [https://arxiv.org/abs/2004.14045 arXiv.2004.1405]; 04/2020<br />
<br />
*A. Moroianu, [https://pilca.app.uni-regensburg.de/ M. Pilca]. Closed 1-Forms and Twisted Cohomology [https://arxiv.org/abs/2003.10368 arXiv:2003.10368 math.DG]; 03/2020 <br />
<br />
*K. van Woerden. Quantifying Quillen's Uniform Fp-isomorphism Theorem. [https://arxiv.org/abs/1711.10206v2 arXiv:1711.10206v2 math. AT]; 03/2020<br />
<br />
* [https://drew-heard.github.io/ D. Heard]. The topological nilpotence degree of a Noetherian unstable algebra. [https://arxiv.org/abs/2003.13267 arXiv:2003.13267]; 03/2020<br />
<br />
*[https://www.fernuni-hagen.de/juniorprofessur-algebra/team/steffen.kionke.shtml S. Kionke], C. L&ouml;h. A note on p-adic simplicial volumes, [https://arxiv.org/abs/2003.10756 arXiv:2003.10756 math.GT]; 03/2020<br />
<br />
* [https://www.icmat.es/miembros/burgos/index.html Burgos Gil, José Ignacio]; [https://gubler.app.uni-regensburg.de/ Gubler, Walter]; P. Jell; [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html Künnemann, Klaus]: A comparison of positivity in complex and tropical toric geometry. [https://arxiv.org/abs/2003.08644 arXiv:2003.08644 math.AG]; 03/2020.<br />
<br />
*C. L&ouml;h. Ergodic theoretic methods in group homology. A minicourse on L2-Betti numbers in group theory. SpringerBriefs in Mathematics, Springer, [https://www.springer.com/gp/book/9783030442194 DOI 10.1007/978-3-030-44220-0] 03/2020.<br />
<br />
*C. L&ouml;h, M. Moraschini. Simplicial volume via normalised cycles, [https://arxiv.org/abs/2003.02584 arXiv:2003.02584 math.AT]; 03/2020<br />
<br />
*[https://homepages.uni-regensburg.de/~gur23971/ R. Gualdi], [https://cesar-martinez-math.weebly.com C. Martínez], Higher dimensional essential minima and equidistribution of cycles, [https://arxiv.org/abs/2001.11468 arXiv:2001.11468]; 01/2020<br />
<br />
*[http://markus-land.de M. Land], [http://www.staff.science.uu.nl/~meier007/ L. Meier], G. Tamme, Vanishing results for chromatic localizations of algebraic K-theory. [https://arxiv.org/abs/2001.10425 arXiv:2001.10425]; 01/2020<br />
<br />
*N. Ginoux, G. Habib, [https://pilca.app.uni-regensburg.de/ M. Pilca], U. Semmelmann. An Obata-type characterization of doubly-warped product Kähler manifolds. [https://arxiv.org/abs/2002.08808 arxiv:2002.08808]; 02/2020<br />
<br />
*N. Ginoux, G. Habib, [https://pilca.app.uni-regensburg.de/ M. Pilca], U. Semmelmann. An Obata-type characterization of Calabi metrics on line bundles. [https://arxiv.org/abs/2002.08810 arxiv:2002.08810]; 02/2020<br />
<br />
*T. Barthel, [https://drew-heard.github.io/ D. Heard], N. Castellana, G. Valenzuela. Local Gorenstein duality for cochains on spaces. [https://arxiv.org/abs/2001.02580 arXiv:2001.02580]; 01/2020. Journal of Pure and Applied Algebra, Volume 225, Issue 2, February 2021<br />
<br />
*[https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Cobordism invariance of topological edge-following states. [https://arxiv.org/abs/2001.08339 arXiv:2001.08339]; 01/2020.<br />
<br />
*[https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], A. Stoffel. A framework for geometric field theories and their classification in dimension one. [https://arxiv.org/abs/2001.05721 arXiv:2001.05721]; 01/2020.<br />
<br />
<br />
===2019===<br />
*[https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], Eisenstein-Kronecker classes, integrality of critical values of Hecke L-functions and p-adic interpolation,[https://arxiv.org/abs/1912.03657 arXiv:1912.03657]; 12/2019<br />
<br />
*M. Moraschini, Alessio Savini. Multiplicative constants and maximal measurable cocycles in bounded cohomology. [https://arxiv.org/abs/1912.09731 arXiv:1912.09731]; 12/2019<br />
<br />
*[https://friedl.app.uni-regensburg.de/ Stefan Friedl], Stefano Vidussi. BNS Invariants and Algebraic Fibrations of Group Extensions. [https://arxiv.org/abs/1912.10524 arXiv:1912.10524]; 12/2019<br />
<br />
*[http://people.dm.unipi.it/frigerio/ R. Frigerio], M. Moraschini. Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume, [https://arxiv.org/abs/1808.07307 arXiv:1808.07307 math.GT]; 12/2019; To appear in Memoirs of the American Mathematical Society.<br />
<br />
*[https://ekvv.uni-bielefeld.de/pers_publ/publ/PersonDetail.jsp?personId=412153703&lang=en A. M. Botero], J. I. Burgos Gil and M. Sombra. Convex analysis on polyhedral spaces. [https://arxiv.org/abs/1911.04821 arXiv:1911.04821]; 11/2019 <br />
<br />
*Y. Kezuka, Y. Li, A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial. [https://arxiv.org/abs/1911.04532 arXiv:1911.04532 math.NT]; 11/2019<br />
<br />
*N. Heuer, C. L&ouml;h. Transcendental simplicial volumes, [https://arxiv.org/abs/1911.06386 arXiv:1911.006386 math.GT]; 11/2019<br />
<br />
*N. Heuer, C. L&ouml;h. Simplicial volume of one-relator groups and stable commutator length, [https://arxiv.org/abs/1911.02470 arXiv:1911.02470 math.GT]; 11/2019<br />
<br />
*T. Bachmann, E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, [https://www.muramatik.com M. Yakerson]. On the infinite loop spaces of algebraic cobordism and the motivic sphere. [https://arxiv.org/abs/1911.02262 arXiv:1911.02262]; 11/2019<br />
<br />
*C. L&ouml;h, [https://topology.math.kit.edu/english/21_53.php R. Sauer]. Bounded cohomology of amenable covers via classifying spaces, [https://arxiv.org/abs/1910.11716 arXiv:1910.11716 math.AT]; 10/2019<br />
<br />
*B. Ammann; J. Mougel; V. Nistor, A comparison of the Georgescu and Vasy spaces associated to the N-body problems. [https://arxiv.org/abs/1910.10656 arXiv:1910.10656 math-ph]; 10/2019<br />
<br />
*[https://ekvv.uni-bielefeld.de/pers_publ/publ/PersonDetail.jsp?personId=412153703&lang=en A. M. Botero]. The Convex-Set Algebra and intersection theory on the Toric Riemann-Zariski Space. [https://arxiv.org/abs/1909.08262 arXiv.1909.08262]; 09/2019<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel, P. Orson, M. Powell. A survey of the foundations of four-manifold theory in the topological category. [http://arxiv.org/abs/1910.07372 arXiv:1910.07372]; 10/2019<br />
<br />
*D. Fauser, C. L&ouml;h, M. Moraschini, J. P. Quintanilha. Stable integral simplicial volume of 3-manifolds, [https://arxiv.org/abs/1910.06120 arXiv:1910.06120 math.GT]; 10/2019<br />
<br />
*[https://sites.google.com/view/masoudzargar M.Zargar], Riemannian structures and point-counting, [https://arxiv.org/abs/1910.04003 arXiv:1910.04003]; 10/2019<br />
<br />
*[https://sites.google.com/view/masoudzargar M.Zargar], Comparison of stable homotopy categories and a generalized Suslin-Voevodsky theorem, [https://www.sciencedirect.com/science/article/pii/S0001870819303548 Advances in Mathematics, vol. 354]; 10/2019<br />
<br />
*[https://www.preschema.com A.A. Khan]. Virtual excess intersection theory. [https://arxiv.org/abs/1909.13829 arXiv:1909.13829]; 09/2019<br />
<br />
*P. Jell, Tropical cohomology with integral coefficients for analytic spaces. [https://arxiv.org/abs/1909.12633 arXiv:1909.12633 math.AG]; 09/2019<br />
<br />
*V. Wanner, Energy Minimization Principle for non-archimedean curves. [https://arxiv.org/abs/1909.11335 arXiv:1909.11335]; 09/2019.<br />
<br />
*[https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [http://www.lemiller.net/ L.E. Miller]. Witt differentials in the h-topology. [https://arxiv.org/abs/1703.08868 arXiv:1703.08868 math.AC]; Journal of Pure and Applied Algebra, vol. 223, no. 12, 12/2019, pp. 5285-5309. <br />
<br />
*N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], Ramanujan graphs and exponential sums over function fields, [https://arxiv.org/abs/1909.07365 arXiv:1909.07365]; 09/2019<br />
<br />
*[https://www.preschema.com A.A. Khan]. Virtual fundamental classes of derived stacks I. [https://arxiv.org/abs/1909.01332 arXiv:1909.01332]; 09/2019<br />
<br />
*M. Moraschini, Alessio Savini. A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices. [https://arxiv.org/pdf/1909.00846.pdf arXiv:1909.00846]; 09/2019 To appear in Transformation Groups.<br />
<br />
*Imre Bokor, Diarmuid Crowley, [https://friedl.app.uni-regensburg.de/ S. Friedl], Fabian Hebestreit, Daniel Kasprowski, [http://markus-land.de/ Markus Land], Johnny Nicholson Connected sum decompositions of high-dimensional manifolds. [http://arxiv.org/abs/1909.02628 arXiv:1909.02628]; 09/2019<br />
<br />
*M. Lüders, Algebraization for zero-cycles and the p-adic cycle class map, Mathematical Research Letters, [https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0026/0002/a008/index.php Volume 26] (2019) Number 2, pp. 557-585.<br />
<br />
* M. Lüders, A restriction isomorphism for zero cyclces with coefficients in Milnor K-theory, Cambridge Journal of Mathematics, [https://www.intlpress.com/site/pub/pages/journals/items/cjm/content/vols/0007/0001/a001/index.php Volume 7] (2019) Number 1-2, pp. 1-31.<br />
<br />
*A. Engel, Ch. Wulff, R. Zeidler. Slant products on the Higson-Roe exact sequence, [https://arxiv.org/abs/1909.03777 arXiv:1909.03777 math.KT]; 09/2019<br />
<br />
* S. Baader, I. Banfield, [http://lewark.de/lukas/ L. Lewark]. Untwisting 3-strand torus knots. [http://arxiv.org/abs/1909.01003 arXiv:1909.01003]; 09/2019<br />
<br />
*E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, M. Yakerson. Modules over algebraic cobordism. [https://arxiv.org/abs/1908.02162 arXiv:1908.02162]; 08/2019<br />
<br />
*N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], Sections of quadrics over A^1_{F_q}, [https://arxiv.org/abs/1907.07839v2 arXiv:1907.07839]; 08/2019<br />
<br />
*H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz], Etale cohomology of rank one l-adic local systems in positive characteristic, [https://arxiv.org/abs/1908.08291 arxiv:1908.08291]; 08/2019 <br />
<br />
*H.K.Nguyen, Covariant & Contravariant Homotopy Theories, [https://arxiv.org/abs/1908.06879 arxiv:1908.06879]; 08/2019<br />
<br />
*Y. Kezuka, On the main conjecture of Iwasawa theory for certain non-cyclotomic ℤp-extensions. [https://arxiv.org/abs/1711.07554 arXiv:1711.07554 math.NT]; J. Lond. Math. Soc., Vol. 100, pp. 107-136, 8/2019<br />
<br />
*Y. Kezuka, J. Choi, Y. Li, Analogues of Iwasawa's μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic ℤ2-extension. [https://arxiv.org/abs/1711.01697 arXiv:1711.01697 math.NT]; Asian J. Math., Vol. 23, No. 3, pp. 383-400, 7/2019<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], Mark Powell, Homotopy ribbon concordance and Alexander polynomials. [http://arxiv.org/abs/1907.09031 arXiv:1907.09031]; 07/2019<br />
<br />
*[https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], K. Yamada. Rigid analytic reconstruction of Hyodo--Kato theory. [https://arxiv.org/abs/1907.10964 arXiv:1907.10964 math.NT]; 07/2019.<br />
<br />
*[https://drew-heard.github.io/ D. Heard]. Depth and detection for Noetherian unstable algebras. [https://arxiv.org/abs/1907.06373 arxiv:1907.06373]; 07/2019<br />
<br />
*[https://sites.google.com/view/lukas-prader/ L. Prader], A local–global principle for surjective polynomial maps, [https://arxiv.org/abs/1909.11690 arXiv:1909.11690]; Journal of Pure and Applied Algebra 223(6), 06/2019, pp. 2371-2381<br />
<br />
*F. Madani, A. Moroianu, [https://pilca.app.uni-regensburg.de/ M. Pilca]. LcK structures with holomorphic Lee vector field on Vaisman-type manifolds [https://arxiv.org/abs/1905.07300 arXiv:1905.07300 math.DG]; 05/2019 <br />
<br />
*[https://homepages.uni-regensburg.de/~glj57400/ J. Glöckle], On the space of initial values strictly satisfying the dominant energy condition, [https://arxiv.org/abs/1906.00099 arXiv:1906.00099]; 05/2019<br />
<br />
*[http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], C. Ravi. Rigidity in equivariant algebraic $K$-theory. [https://arxiv.org/abs/1905.03102 arXiv:1905.03102]; 05/2019<br />
<br />
*P. Feller, [http://lewark.de/lukas/ L. Lewark]. Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space. [http://arxiv.org/abs/1905.08305 arXiv:1905.08305]; 05/2019<br />
<br />
*[https://graptismath.net G. Raptis], W. Steimle, Topological manifold bundles and the A-theory assembly map. [https://arxiv.org/abs/1905.01868 arXiv:1905.01868]; 05/2019<br />
<br />
* P. Antonini, A. Buss, A. Engel, T. Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras, [https://arxiv.org/abs/1905.07730 arXiv:1905.07730 math.KT]; 05/2019<br />
<br />
*J. Schmidt, [https://www.florianstrunk.de F. Strunk]. A Bloch--Ogus Theorem for henselian local rings in mixed characteristic. [https://arxiv.org/abs/1904.02937 arXiv:1904.02937]; 04/2019<br />
<br />
*T. Barthel, [https://drew-heard.github.io/ D. Heard], N. Castellana, G. Valenzuela. On stratification for spaces with Noetherian mod p cohomology. [https://arxiv.org/abs/1904.12841 arxiv:1904.12841]; 04/2019<br />
<br />
*B. Karlhofer, [https://homepages.abdn.ac.uk/kedra/pages/ J. Kędra], M. Marcinkowski, A. Trost. Qualitative counting closed geodesics,[https://arxiv.org/abs/1904.11237 arXiv:1904.11237 math.DG]; 04/2019<br />
<br />
*N. Heuer, C. L&ouml;h. The spectrum of simplicial volume. [https://arxiv.org/abs/1904.04539 arXiv:1904.04539 math.GT]; 04/2019<br />
<br />
*K. Bohlen, J. M. Lescure. A geometric approach to K-homology for Lie manifolds, [https://arxiv.org/abs/1904.04069 arXiv:1904.04069]; 04/2019 <br />
<br />
*[https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [https://www.s.u-tokyo.ac.jp/en/people/shiho_atsushi/ A. Shiho]. On infiniteness of integral overconvergent de Rham-Witt cohomology modulo torsion. [https://arxiv.org/abs/1812.03720 arXiv:1812.03720 math.NT]; 04/2019; to appear in the Tohoku Mathematical Journal. <br />
<br />
*[https://homepages.uni-regensburg.de/~erv10962/ V. Ertl]. A new proof of a vanishing result due to Berthelot, Esnault, and Rülling. [https://arxiv.org/abs/1805.06269 arXiv:1805.06269 math.NT]; 04/2019 to appear in the Journal of Number Theory. <br />
<br />
*C. L&ouml;h. Residually finite categories. [https://arxiv.org/abs/1903.11488 arXiv:1903.11488 math.CT]; 03/2019<br />
<br />
*A. Engel, C. L&ouml;h. Polynomially weighted l^p-completions and group homology. [https://arxiv.org/abs/1903.11486 arXiv:1903.11486 math.GR]; 03/2019<br />
<br />
*B. Ammann; K. Kröncke, O. Müller. Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors. Commun. Math. Phys. 387, 77-109 (2021), doi: 10.1007/s00220-021-04172-1, [https://arxiv.org/abs/1903.02064 arXiv:1903.02064 math.DG]; 03/2019<br />
<br />
*[https://www.math.bgu.ac.il/~brandens/ M. Brandenbursky], M. Marcinkowski. Bounded cohomology of transformation groups. [https://arxiv.org/abs/1902.11067 arXiv:1902.11067 math.GT]; 02/2019.<br />
<br />
*H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz], Arithmetic subspaces of moduli spaces of rank one local systems. [https://arxiv.org/abs/1902.02961 arXiv:1902.02961]; 2/2019.<br />
<br />
*F. Déglise, J. Fasel, F. Jin, [https://www.preschema.com A.A. Khan]. Borel isomorphism and absolute purity. [https://arxiv.org/abs/1902.02055 arXiv:1902.02055]; 02/2019<br />
<br />
*[https://graptismath.net G. Raptis], On transfer maps in the algebraic K-theory of spaces. [https://arxiv.org/abs/1901.05539 arXiv:1901.05539]; 01/2019<br />
<br />
*[https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [http://perso.ens-lyon.fr/wieslawa.niziol/ W. Nizioł]. Syntomic cohomology and p-adic motivic cohomology. [http://content.algebraicgeometry.nl/2019-1/2019-1-006.pdf Algebraic Geometry, vol. 6, no. 1, pp. 100-131]; 01/2019.<br />
<br />
===2018===<br />
<br />
*E. Elmanto, [https://www.preschema.com A.A. Khan]. Perfection in motivic homotopy theory. [https://arxiv.org/abs/1812.07506 arXiv:1812.07506]; 12/2018<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz], [https://www.florianstrunk.de/ F. Strunk], G. Tamme, Towards Vorst's conjecture in positive characteristic. [https://arxiv.org/abs/1812.05342 arXiv:1812.05342]; 12/2018.<br />
<br />
*F. Binda,S. Saito, Semi-purity for cycles with modulus [https://arxiv.org/abs/1812.01878 arXiv:1812.01878]; 12/2018.<br />
<br />
*B. Ammann; N. Große; V Nistor, Analysis and boundary value problems on singular domains: an approach via bounded geometry. [https://arxiv.org/abs/1812.09898 arXiv:1812.09898 math.AP]; 12/2018<br />
<br />
*[https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [https://homepages.uni-regensburg.de/~spj54141/ J. Sprang]. Integral Comparison of Monsky-Washnitzer and overconvergent de Rham-Witt cohomology. [https://www.ams.org/journals/bproc/2018-05-07/S2330-1511-2018-00038-0/S2330-1511-2018-00038-0.pdf Proceedings of the AMS, Series B, vol. 5, pp. 64-72]; 11/2018.<br />
<br />
*[https://graptismath.net/ G. Raptis], Devissage for Waldhausen K-theory. [https://arxiv.org/abs/1811.09564 arXiv:1811.09564]; 11/2018<br />
<br />
*[https://www.preschema.com A.A. Khan]. Descent by quasi-smooth blow-ups in algebraic K-theory. [https://arxiv.org/abs/1810.12858 arXiv:1810.12858]; 10/2018<br />
<br />
*B. Ammann; N. Große; V Nistor, The strong Legendre condition and the well-posedness of mixed Robin problems on manifolds with bounded geometry. [https://arxiv.org/abs/1810.06926 arXiv:1810.06926 math.AP]; 10/2018<br />
<br />
*[http://federicobambozzi.eu F. Bambozzi], [https://www.math.univ-paris13.fr/~vezzani/ A. Vezzani], Rigidity for rigid analytic motives. [https://arxiv.org/abs/1810.04968 arXiv:1810.04968];10/2018<br />
<br />
* [https://drew-heard.github.io/ D. Heard], G. Li, D. Shi, Picard groups and duality for real Morava E-theories. [https://arxiv.org/abs/1810.05439 arxiv:1810.05439]; 10/2018<br />
<br />
* B. Ammann; N. Ginoux; Some examples of Dirac-harmonic maps [https://arxiv.org/abs/1809.09859 arXiv:1809.09859 math.AP]; 09/2018<br />
<br />
*[https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Injectivity results for coarse homology theories. [https://arxiv.org/abs/1809.11079 arXiv:1809.11079 math.KT]; 09/2018<br />
<br />
*E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, M. Yakerson. Framed transfers and motivic fundamental classes. [https://arxiv.org/abs/1809.10666 arXiv:1809.10666]; 09/2018<br />
<br />
*[https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Transfers in coarse homology. [https://arxiv.org/abs/1809.08300 arXiv:1809.08300 math.KT]; 09/2018<br />
<br />
*C. L&ouml;h. Cost vs. integral foliated simplicial volume. [https://arxiv.org/abs/1809.09660 arXiv:1809.09660 math.GT]; 09/2018<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang]. A linear independence result for p-adic L-values. [https://arxiv.org/abs/1809.07714 arXiv:1809.07714 math.NT]; 09/2018<br />
<br />
*C. L&ouml;h. Simplicial volume with Fp-coefficients. [https://arxiv.org/abs/1808.09497 arXiv:1808.09497 math.GT]; 08/2018<br />
<br />
*[http://markus-land.de M. Land], G. Tamme. On the K-theory of pullbacks. [http://arxiv.org/abs/1808.05559 arXiv:1808.05559 math.KT]; 08/2018<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz]. On negative algebraic K-groups. [https://eta.impa.br/dl/137.pdf ICM 2018]; 08/2018<br />
<br />
*D. Fauser, [https://friedl.app.uni-regensburg.de/ S. Friedl], C. L&ouml;h. Integral approximation of simplicial volume of graph manifolds. [https://arxiv.org/abs/1807.10522 arXiv:1807.10522 math.GT]; 07/2018<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], JungHwan Park, Bram Petri, Jean Raimbault and Arunima Ray, On distinct finite covers of 3-manifolds. [http://arxiv.org/abs/1807.09861 arXiv:1807.09861]; 07/2018<br />
<br />
*[https://yangenlin.wordpress.com/ E. Yang], Y. Zhao. On the relative twist formula of l-adic sheaves. [https://arxiv.org/abs/1807.06930 arXiv:1807.06930 math.AG]; 07/2018<br />
<br />
*F. Ben Aribi, [https://friedl.app.uni-regensburg.de/ S. Friedl], [http://www.gerhit.de/ G. Herrmann], The leading coefficient of the L^2-Alexander torsion. [http://arxiv.org/abs/1806.10965 arXiv:1806.10965]; 06/2018<br />
<br />
* F. Déglise, F. Jin, [https://www.preschema.com A.A. Khan]. Fundamental classes in motivic homotopy theory. [https://arxiv.org/abs/1805.05920 arXiv:1805.05920]; 05/2018<br />
<br />
*[https://graptismath.net/ G. Raptis], W. Steimle, On the h-cobordism category. I. [https://arxiv.org/abs/1805.04395 arXiv:1805.04395]; 05/2018 <br />
<br />
*[https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], K. Yamada. Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary. [https://arxiv.org/abs/1805.04974 arXiv:1805.04974 math.NT]; 05/2018.<br />
<br />
*G. Herrmann, Sutured manifolds and L^2-Betti numbers. [https://arxiv.org/abs/1804.09519 arxiv:1804.09519]; 04/2018<br />
<br />
*H.K. Nguyen, [http://graptismath.net/ G. Raptis], C. Schrade, Adjoint functor theorems for infinity categories. [https://arxiv.org/abs/1803.01664 arxiv:1803.01664]; 03/2018<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz], Y. Zhao, Higher ideles and class field theory. [https://arxiv.org/abs/1804.00603 arXiv:1804.00603]; 03/2018<br />
<br />
*[https://www.math.u-psud.fr/~fischler/ S. Fischler], [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], [http://wain.mi.ras.ru/ W. Zudilin], Many odd zeta values are irrational. [https://arxiv.org/abs/1803.08905 arXiv:1803.08905]; 03/2018<br />
<br />
*[https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Scarponi, The Maillot-Rössler current and the polylogarithm on abelian schemes. [https://arxiv.org/abs/1803.00833 arXiv:1803.00833]; 03/2018<br />
<br />
*M. Marcinkowski, Aut-invariant word norm on right angled Artin and Coxeter groups. [https://arxiv.org/abs/1803.00294 arXiv:1803.00294]; 03/2018<br />
<br />
*F. Binda, A. Krishna, Rigidity for relative 0-cycles [https://arxiv.org/abs/1802.00165 arXiv:1802.00165]; 2/2018.<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], Infinitely many odd zeta values are irrational. By elementary means. [https://arxiv.org/abs/1802.09410 arXiv:1802.09410]; 02/2018<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz], S. Saito, G. Tamme, K-theory of non-archimedean rings I. [http://arxiv.org/abs/1802.09819 arXiv1802.09819 math.KT]; 02/2018<br />
<br />
*[https://www.preschema.com A.A. Khan], D. Rydh. Virtual Cartier divisors and blow-ups. [https://arxiv.org/abs/1802.05702 arXiv:1802.05702]; 2/2018<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], The syntomic realization of the elliptic polylogarithm via the Poincaré bundle. [https://arxiv.org/abs/1802.04999 arXiv:1802.04999]; 02/2018<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle. [https://arxiv.org/abs/1802.04996 arXiv:1802.04996]; 02/2018<br />
<br />
*[http://federicobambozzi.eu F. Bambozzi], S. Murro, [http://www.pinamonti.it/ N. Pinamonti] Invariant states on Weyl algebras for the action of the symplectic group. [https://arxiv.org/abs/1802.02487 arXiv:1802.02487];02/2018<br />
<br />
*Y. Kezuka, On the p-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of ℚ(√-3). [https://arxiv.org/abs/1605.08245 arXiv:1605.08245 math.NT]; Math. Proc. Camb. Philos. Soc., 164, pp. 67-98, 1/2018<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], Real-analytic Eisenstein series via the Poincaré bundle. [https://arxiv.org/abs/1801.05677 arXiv:1801.05677]; 01/2018 <br />
<br />
*V. Wanner, Comparison of two notions of subharmonicity on non-archimedean curves. [https://arxiv.org/abs/1801.04713 arXiv: 1801.04713]; 01/2018<br />
<br />
===2017===<br />
<br />
*[https://gubler.app.uni-regensburg.de/ Gubler, Walter]; Jell, Philipp; [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html Künnemann, Klaus]; Martin, Florent, Continuity of Plurisubharmonic Envelopes in Non-Archimedean Geometry and Test Ideals (with an Appendix by José Ignacio Burgos Gil and Martín Sombra). Annales de l’Institut Fourier 69 (2019), no.5, 2331-2376 [https://aif.centre-mersenne.org/item/AIF_2019__69_5_2331_0/ doi : 10.5802/aif.3296] [https://arxiv.org/abs/1712.00980 arXiv:1712.00980 math.AG]; 12/2017.<br />
<br />
*G. Cortiñas, J. Cuntz, R. Meyer, and G. Tamme, Weak completions, bornologies and rigid cohomology. [http://arxiv.org/abs/1712.08004 arXiv:1712.08004 math.AG]; 12/2017<br />
<br />
*[https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Coarse homology theories and finite decomposition complexity. [https://arxiv.org/abs/1712.06932 arXiv:1712.06932 math.KT];12/2017<br />
<br />
*[https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, Coarse cohomology theories. [https://arxiv.org/abs/1711.08599 arXiv:1711.08599 math.AT]; 11/2017<br />
<br />
*A. Engel, [http://www.uni-math.gwdg.de/cwulff/ Ch. Wulff] Coronas for properly combable spaces. [https://arxiv.org/abs/1711.06836 arXiv:1711.06836 math.MG]; 11/2017<br />
<br />
* [http://markus-land.de/ M. Land], Reducibility of low dimensional Poincaré duality spaces. [https://arxiv.org/pdf/1711.08179.pdf arXiv:1711.08179]; 11/2017<br />
<br />
*T. Barthel, T. Schlank, N. Stapleton, Chromatic homotopy theory is asymptotically algebraic. [https://arxiv.org/abs/1711.00844 arXiv:1711.00844]; 11/2017<br />
<br />
*P. Jell, [https://www.math.uni-tuebingen.de/user/jora/ J. Rau], K. Shaw Lefschetz (1,1)-theorem in tropical geometry. Epijournal de Géometrie Algébrique, volume 2, article no. 11 (2018)[https://arxiv.org/abs/1711.07900 arXiv:1711.07900];11/2017<br />
<br />
*E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, M. Yakerson. Motivic infinite loop spaces.[https://arxiv.org/abs/1711.05248 arXiv:1711.05248]; 11/2017<br />
<br />
*[http://federicobambozzi.eu F. Bambozzi], O.Ben-Bassat, [https://www.maths.ox.ac.uk/people/yakov.kremnitzer K. Kremnizer] Analytic geometry over F_1 and the Fargues-Fontaine curve. [https://arxiv.org/abs/1711.04885 arXiv:1711.04885];11/2017 <br />
<br />
*R. Zentner, [http://wwwf.imperial.ac.uk/~ssivek/ S. Sivek], SU(2)-cyclic surgeries and the pillowcase. [http://arxiv.org/abs/1710.01957 arXiv:1710.01957 math.gt];10/2017<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], [http://www.gerhit.de/ G. Herrmann], Torsion in the homology of finite covers of 3-manifolds. [http://arxiv.org/abs/1710.08983 arXiv:1710.0898 [math.gt];10/2017<br />
<br />
*[https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Equivariant coarse homotopy theory and coarse algebraic K-homology. [https://arxiv.org/abs/1710.04935 arXiv:1710.04935 math.KT];10/2017<br />
<br />
*K. Bohlen, René Schulz. Quantization on manifolds with an embedded submanifold, [https://arxiv.org/abs/1710.02294 arXiv:1710.02294 math.DG]; 10/2017<br />
<br />
*F. Binda and A. Krishna, Zero cycles with modulus and zero cycles on singular varieties, to appear in Compositio Math, [https://arxiv.org/abs/1512.04847 arXiv:1512.04847v4 [math.AG]].<br />
<br />
*M. Boileau, [https://friedl.app.uni-regensburg.de/ S. Friedl], Grothendieck rigidity of 3-manifold groups. [http://arxiv.org/abs/1710.02746 arXiv:1710.02746 math.gt];10/2017<br />
<br />
*T. Barthel, M. Hausmann, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], T. Nikolaus, [http://www.nullplug.org/ J. Noel], N. Stapleton, The Balmer spectrum of the equivariant homotopy category of a finite abelian group, [https://arxiv.org/abs/1709.04828 arXiv:1709.04828 math.at]; 10/2017<br />
<br />
*M. Boileau, [https://friedl.app.uni-regensburg.de/ S. Friedl], The virtual Thurston seminorm of 3-manifolds. [http://arxiv.org/abs/1709.06485 arXiv:1709.06485 math.gt];09/2017<br />
<br />
* A. Conway, [https://friedl.app.uni-regensburg.de/ S. Friedl], [http://www.gerhit.de/ G. Herrmann], Linking forms revisited. [http://arxiv.org/abs/1708.03754 arXiv:1708.03754 math.gt];08/2017<br />
<br />
*G. Cortiñas, J. Cuntz, R. Meyer, and G. Tamme, Nonarchimedean bornologies, cyclic homology and rigid cohomology. [http://arxiv.org/abs/1708.00357 arXiv:1708.00357 math.AG]; 08/2017<br />
<br />
*M. Marcinkowski, [https://www.math.bgu.ac.il/~brandens/ M. Brandenbursky], Topological entropy and quasimorphisms. [https://arxiv.org/abs/1707.06020 arXiv:1707.06020 math.GT]; 07/2017<br />
<br />
*[https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, The coarse index class with support. [https://arxiv.org/abs/1706.06959 arXiv:1706.06959 math.DG]; 06/2017<br />
<br />
*P. Jell, Tropical Hodge numbers of non-archimedean curves. Israel Journal of Mathematics 229 (2019), 1-19, no.1, 287-305, [https://link.springer.com/article/10.1007/s11856-018-1799-5 doi: 10.1007/s11856-018-1799-5][https://arxiv.org/abs/1706.05895 arXiv:1706.05895 math.AG]; 06/2017<br />
<br />
*T. Barthel, N. Stapleton, Excellent rings in transchromatic homotopy theory. [https://arxiv.org/abs/1706.00208 arXiv:1706.00208 math.AT]; 06/2017<br />
<br />
*[https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, Coarse assembly maps. [https://arxiv.org/abs/1706.02164 arXiv:1706.02164 math.KT]; 06/2017<br />
<br />
*F. Hebestreit, [http://www.markus-land.de M. Land], W. Lück, O. Randal-Williams. A Vanishing theorem for tautological classes of aspherical manifolds. [https://arxiv.org/pdf/1705.06232.pdf arXiv:1705.06232 math.AT]; 05/2017<br />
<br />
*D.-C. Cisinski, [https://www.preschema.com A.A. Khan]. Brave new motivic homotopy theory II: Homotopy invariant K-theory. [https://arxiv.org/abs/1705.03340 arXiv:1705.03340]; 05/2017<br />
<br />
*F. Madani, A. Moroianu, [https://pilca.app.uni-regensburg.de/ M. Pilca]. On Weyl-reducible conformal manifolds and lcK structures [https://arxiv.org/abs/1705.10397 arXiv:1705.10397 math.DG]; 05/2017<br />
<br />
*[http://graptismath.net/ G. Raptis], [https://www.florianstrunk.de/ F. Strunk]. Model topoi and motivic homotopy theory. [https://arxiv.org/abs/1704.08467 arXiv:1704.08467 math.AT]; 04/2017<br />
<br />
*D. Fauser. Integral foliated simplicial volume and S^1-actions. [http://arxiv.org/abs/1704.08538 arXiv:1704.08538 math.GT]; 04/2017<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], S. Vidussi, On virtual properties of Kaehler groups. [http://arxiv.org/abs/1704.07041 arXiv:1704.07041 math.gt];04/2017<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], M. Gill, S. Tillmann, Linear representations of 3-manifold groups over rings. [http://arxiv.org/abs/1703.06609 arXiv:1703.06609 math.gt];04/2017<br />
<br />
*C. Löh. Explicit l1-efficient cycles and amenable normal subgroups. [http://arxiv.org/abs/arXiv:1704.05345 arXiv:1704.05345 math.GT]; 04/2017<br />
<br />
*C. Löh. Rank gradient vs. stable integral simplicial volume. [http://arxiv.org/abs/arXiv:1704.05222 arXiv:1704.05222 math.GT]; 04/2017 <br />
<br />
*S.P. Reeh, T.M. Schlank, N. Stapleton, A formula for p-completion by way of the Segal conjecture. [https://arxiv.org/abs/arxiv:1704.00271 arxiv:1704.00271 math.AT]; 04/2017<br />
<br />
*F. Binda, Torsion zero cycles with modulus on affine varieties.[https://arxiv.org/abs/1604.06294 arXiv:1604.06294 math.AG], to appear in J. of Pure and App. Algebra.<br />
<br />
*F. Binda, J. Cao, W. Kai and R. Sugiyama, Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus, J. of Algebra, [http://dx.doi.org/10.1016/j.jalgebra.2016.07.036 Vol. 469], 1, 2017.<br />
<br />
*H.K. Nguyen, On the infinite loop space structure of the cobordism category, [https://doi.org/10.2140/agt.2017.17.1021 Algebr. Geom. Topol. Vol. 17 issue 2], 3/2017<br />
<br />
*G. Tamme, Excision in algebraic K-theory revisited. [http://arxiv.org/abs/arXiv:1703.03331 arXiv:1703.03331 math.KT]; 03/2017<br />
<br />
*D. Fauser, C. Löh. Variations on the theme of the uniform boundary condition. [http://arxiv.org/abs/arXiv:1703.01108 arXiv:1703.01108 math.GT]; 03/2017<br />
<br />
*A. Engel, Banach strong Novikov conjecture for polynomially contractible groups. [https://arxiv.org/abs/1702.02269 arXiv:1702.02269 math.KT]; 02/2017 <br />
<br />
*[https://www.math.bgu.ac.il/~brandens M.Brandenbursky], M.Marcinkowski. Aut-invariant norms and Aut-invariant quasimorphisms on free and surface groups. [https://arxiv.org/abs/1702.01662 arXiv:1702.01662 math.GT]; 02/2017<br />
<br />
*N. Umezaki, [https://yangenlin.wordpress.com/ E. Yang], Y. Zhao. Characteristic class and the &epsilon;-factor of an étale sheaf. [https://arxiv.org/abs/1701.02841 arXiv:1701.02841 math.AG]; 01/2017<br />
<br />
===2016===<br />
<br />
*M. Lüders, On a base change conjecture for higher zero-cycles. [https://arxiv.org/abs/1612.04635 arXiv:1612.04635 math.AG]; 12/2016<br />
<br />
*P. Jell, V. Wanner. Poincaré duality for the real-valued de Rham cohomology of non-archimedean Mumford curves. Journal of Number Theory 187 (2018), 344-371 [https://doi.org/10.1016/j.jnt.2017.11.004 doi:10.1016/j.jnt.2017.11.004] [https://arxiv.org/abs/1612.01889 arXiv:1612.01889 math.AG]; 12/2016<br />
<br />
*F. Madani, A. Moroianu, [https://pilca.app.uni-regensburg.de/ M. Pilca]. On toric locally conformally Kähler manifolds [https://arxiv.org/abs/1611.01707 arXiv:1611.01707 math.DG]; 11/2016<br />
<br />
*U. Jannsen, [http://www.lcv.ne.jp/~smaki/en/index.html S. Saito], Y. Zhao. Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields. [https://arxiv.org/abs/1611.08720 arXiv:1611.08720 math.AG]; 11/2016<br />
<br />
*Y. Zhao. Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes. [https://arxiv.org/abs/1611.08722 arXiv:1611.08722 math.AG]; 11/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl]; M. Nagel, P. Orson, M. Powell, Satellites and concordance of knots in 3-manifold [http://arxiv.org/abs/1611.09114 arXiv:1611.09114 math.GT]; 11/2016<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz], [https://www.florianstrunk.de/ F. Strunk], G. Tamme. Algebraic K-theory and descent for blow-ups. [http://arxiv.org/abs/1611.08466 arXiv:1611.08466 math.KT]; 11/2016<br />
<br />
*N. Otoba; J. Petean, Solutions of the Yamabe equation on harmonic Riemannian submersions, [https://arxiv.org/abs/1611.06709 arXiv:1611.06709 math.DG]; 11/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl]; W. Lueck, S. Tillmann, Groups and polytopes [http://arxiv.org/abs/1611.01857 arXiv:1611.01857 math.GT]; 11/2016<br />
<br />
*B. Ammann; N. Große; V Nistor, Well-posedness of the Laplacian on manifolds with boundary and bounded geometry [http://arxiv.org/abs/1611.00281 arXiv:1611.00281 math.AP]; 11/2016<br />
<br />
*A. Engel, M. Marcinkowski, Burghelea conjecture and asymptotic dimension of groups, [https://arxiv.org/abs/1610.10076 arXiv:1610.10076 math.GT]; 11/2016.<br />
<br />
*S. Baader, P. Feller, L. Lewark, R. Zentner, Khovanov width and dealternation number of positive braid links, [http://arxiv.org/abs/1610.04534 arXiv:1605.04534 math.GT]; 10/2016<br />
<br />
*M. Heusener, R. Zentner, A new algorithm for 3-sphere recognition, [http://arxiv.org/abs/1610.04092 arXiv:1605.04092 math.GT]; 10/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl]; M. Heusener. On high-dimensional representations of knot groups [http://arxiv.org/abs/1610.04414 arXiv:1610.04414 math.GT]; 10/2016<br />
<br />
*O. Müller, Applying the index theorem to non-smooth operators, [https://arxiv.org/abs/1506.04636 arXiv:1506.04636 math.AP]; 10/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl]; W. Lueck. L2-Euler characteristics and the Thurston norm [http://arxiv.org/abs/1609.07805 arXiv:1609.07805 math.GT]; 09/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl]; W. Lueck. Universal L2-torsion, polytopes and applications to 3-manifolds. [http://arxiv.org/abs/1609.07809 arXiv:1609.07809 math.GT]; 09/2016<br />
<br />
*A. Conway; [https://friedl.app.uni-regensburg.de/ S. Friedl]; E. Toffoli, The Blanchfield pairing of colored links. [http://arxiv.org/abs/1609.08057 arXiv:1609.08057 math.GT]; 09/2016<br />
<br />
*[https://www.icmat.es/miembros/burgos/index.html Burgos Gil, José Ignacio]; [https://gubler.app.uni-regensburg.de/ Gubler, Walter]; Jell, Philipp; [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html Künnemann, Klaus]; Martin, Florent, Differentiability of non-archimedean volumes and non-archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld). Algebraic Geometry 7 (2) (2020) 113-152 [http://content.algebraicgeometry.nl/2020-2/2020-2-005.pdf doi:10.14231/AG-2020-005] [https://arxiv.org/abs/1608.01919 arXiv:1608.01919 math.AG]; 08/2016.<br />
<br />
*[https://gubler.app.uni-regensburg.de/ Gubler, Walter]; Martin, Florent, On Zhang's semipositive metrics. [https://arxiv.org/abs/1608.08030 arXiv:1608.08030]; 08/2016<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz], S. Saito, G. Tamme. Towards a non-archimedean analytic analog of the Bass-Quillen conjecture. [https://arxiv.org/abs/1608.00703 arXiv:1608.00703 math.AG]; 08/2016<br />
<br />
*O. Müller, A proof of Thorne's Hoop Conjecture for Einstein-Maxwell Theory, [https://arxiv.org/abs/1607.05036 arXiv:1607.05036 math.DG]; 08/2016<br />
<br />
*[https://homepages.uni-regensburg.de/~erv10962/ V. Ertl]. Full faithfulness for overconvergent F-de Rham-Witt connections. [https://arxiv.org/abs/1411.7182 arXiv:1411.7182 math.NT]; Comptes rendus - Mathématique vol. 354, no. 7, pp. 653-658, 07/2016.<br />
<br />
*[https://bunke.app.uni-regensburg.de U. Bunke], A. Engel. Homotopy theory with bornological coarse spaces. [https://arxiv.org/abs/1607.03657 arXiv:1607.03657 math.AT]; 07/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl]. Novikov homology and noncommutative Alexander polynomials. [http://arxiv.org/pdf/arXiv:1606.03587.pdf arXiv:1606.03587 math.GT]; 06/2016<br />
<br />
*A. Mathew, [http://dtclausen.tumblr.com/ Dustin Clausen], [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] Descent in algebraic K-theory and a conjecture of Ausoni-Rognes. [https://arxiv.org/abs/1606.03328 arxiv:1606.03328 math.AT].<br />
<br />
*R. Zentner, Integer homology 3-spheres admit irreducible representations in SL(2,C), [http://arxiv.org/abs/1605.08530 arXiv:1605.08530 math.GT]; 05/2016<br />
<br />
*D. Fauser, C. Löh, Exotic finite functorial semi-norms on singular homology. [http://arxiv.org/abs/arXiv:1605.04093 arXiv:1605.04093 math.GT]; 05/2016<br />
<br />
*[https://math.uoregon.edu/profile/botvinn B. Botvinnik], O. Müller, Cheeger-Gromov convergence in a conformal setting, [https://arxiv.org/abs/1512.07651 arXiv:1512.07651 math.DG]; 04/2016<br />
<br />
* [http://www.gerrit-herrmann.de/#top G. Herrmann], The $L^2$-Alexander torsion for Seifert fiber spaces. [http://arxiv.org/pdf/arXiv:1602.08768.pdf arXiv:1602.08768 math.GT]; 02/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], S. Vidussi. Rank gradients of infinite cyclic covers of Kaehler manifolds. [http://arxiv.org/pdf/arXiv:1604.08267.pdf arXiv:1604.08267 math.GT]; 04/2016<br />
<br />
*J. Lind, C. Malkiewich. The transfer map of free loop spaces [http://arxiv.org/abs/1604.03067 arXiv:1604.03067 math.AT]; 04/2016<br />
<br />
*P. Graf. Polylogarithms for $GL_2$ over totally real fields. [http://arxiv.org/pdf/1604.04209.pdf arXiv:1604.04209 math.NT]; 04/2016 <br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, M. Nagel. Representation varieties detect essential surfaces. [http://arxiv.org/pdf/arXiv:1604.00584.pdf arXiv:1604.00584 math.GT]; 04/2016<br />
<br />
*D. Scarponi, Sparsity of p-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer. [https://arxiv.org/abs/1602.08755v3 arXiv:1602.08755v3]; 02/2016<br />
<br />
*O. Gwilliam, [https://dmitripavlov.org/ D. Pavlov]. Enhancing the filtered derived category. [https://arxiv.org/abs/1602.01515 arXiv:1602.01515], accepted by J. Pure Appl. Algebra; 02/2016<br />
<br />
*[https://www.mathi.uni-heidelberg.de/people/personeninfo.html?uid=jschmidt J. Schmidt], [https://www.florianstrunk.de/ F. Strunk]. On the shifted stable A1-connectivity property. [http://arxiv.org/abs/1602.08356 arXiv:1602.08356 math.AG]; 02/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl],M. Boileau. Epimorphisms of 3-manifold groups. [http://arxiv.org/pdf/arXiv:1602.06779.pdf arXiv:1602.06779 math.GT]; 02/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl],[http://math.wisc.edu/~maxim L. Maxim]. Twisted Novikov homology of complex hypersurface complements. [http://arxiv.org/pdf/arXiv:1602.04943.pdf arXiv:1602.04943 math.AT]; 02/2016<br />
<br />
*[http://federicobambozzi.eu F. Bambozzi]. Theorems A and B for dagger quasi-Stein spaces. [http://arxiv.org/pdf/1602.04388.pdf arXiv:1602.04388 math.AG]; 02/2016<br />
<br />
*T. Fiore and M. Pieper. Waldhausen Additivity: Classical and Quasicategorical. [http://arxiv.org/abs/1207.6613 arXiv:1207.6613v2 math.AT]; 02/2016<br />
<br />
*A. Engel. Wrong way maps in uniformly finite homology and homology of groups. [http://arxiv.org/abs/1602.03374 arXiv:1602.03374 math.GT]; 02/2016<br />
<br />
*M. Pilca. Toric Vaisman Manifolds. [https://arxiv.org/abs/1512.00876 arXiv:1512.00876 math.DG]; 01/2016<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], C. Leidy, M. Nagel, M. Powell. Twisted Blanchfield pairings and decompositions of 3-manifolds. [http://arxiv.org/pdf/arXiv:arXiv:1602.00140.pdf arXiv:1602.00140 math.GT]; 01/2016<br />
<br />
*O. Raventós. Transfinite Adams representability. [http://arxiv.org/abs/1304.3599 arXiv:1304.3599]; new version 02/2016<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz], [https://www.florianstrunk.de/ F. Strunk]. On the vanishing of negative homotopy K-theory [http://arxiv.org/abs/1601.08075 arXiv:1601.08075 math.AG]; 01/2016<br />
<br />
*J. Lind, H. Sati, [http://math.umn.edu/~cwesterl/ C. Westerland]. A higher categorical analogue of topological T-duality for sphere bundles [http://arxiv.org/abs/1601.06285 arXiv:1601.06285 math.AT]; 01/2016<br />
<br />
*F. Madani, [http://moroianu.perso.math.cnrs.fr/ A. Moroianu], M. Pilca. Conformally related Kähler metrics and the holonomy of lcK manifolds [https://arxiv.org/abs/1511.09212 arXiv: 1511.09212 math.DG]; 01/2016<br />
<br />
===2015===<br />
<br />
*D. Scarponi, The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne-Beilinson cohomology. [https://arxiv.org/abs/1512.01997 arXiv:1512.01997]; 12/2015<br />
<br />
*[http://www.math.ens.fr/~amini/ O. Amini], [http://www.math.uchicago.edu/~bloch/ S. Bloch], [http://www.icmat.es/miembros/burgos/ J. I. Burgos Gil], J. Fresán. Feynman Amplitudes and Limits of Heights [http://arxiv.org/pdf/1512.04862.pdf arXiv:1512.04862 math.AG]; 12/2015<br />
<br />
* P. Jell, K. Shaw, J. Smacka. Superforms, Tropical Cohomology and Poincaré Duality [https://doi.org/10.1515/advgeom-2018-0006 doi:10.1515/advgeom-2018-0006] [http://arxiv.org/pdf/1512.07409v1.pdf arXiv:1512.07409 math.AG]; 12/2015<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], C. Livingston, R. Zentner. Knot concordances and alternating knots. [http://arxiv.org/pdf/arXiv:1512.08414.pdf arXiv:1512.08414 math.GT]; 12/2015<br />
<br />
*B. Ammann; Klaus Kröncke, Hartmut Weiß, Frederik Witt. Holonomy rigidity for Ricci-flat metrics, [http://arxiv.org/abs/1512.07390 arXiv:1512.07390 math.DG]; 12/2015<br />
<br />
*[http://gt.postech.ac.kr/~jccha/ J. C. Cha], [https://friedl.app.uni-regensburg.de/ S. Friedl], F. Funke. The Grothendieck group of polytopes and norms. [http://arxiv.org/pdf/arXiv:1512.06699.pdf arXiv:1512.06699 math.GT]; 12/2015<br />
<br />
*[https://gubler.app.uni-regensburg.de/ W. Gubler], J. Hertel. Local heights of toric varieties over non-archimedean fields [https://arxiv.org/pdf/1512.06574.pdf arXiv1512.06574 math.NT]; 12/2015<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], M. Powell. The presentation of the Blanchfield pairing of a knot via a Seifert matrix. [http://arxiv.org/pdf/arXiv:1512.04603.pdf arXiv:1512.04603 math.GT]; 12/2015<br />
<br />
*F. Bambozzi, O. Ben-Bassat, K. Kremnizer . Stein Domains in Banach Algebraic Geometry. [http://arxiv.org/pdf/1511.09045.pdf arxiv:1511.09045 math.AG]; 11/2015<br />
<br />
*Y. Wu. On the p-adic local invariant cycle theorem. [http://arxiv.org/pdf/1511.08323.pdf arxiv:1511.08323 math.AG]; 11/2015<br />
<br />
*J. Scholbach, [https://dmitripavlov.org/ D. Pavlov]. Homotopy theory of symmetric powers. [https://arxiv.org/abs/1510.04969 arXiv:1510.04969]; 10/2015 <br />
<br />
*F. Martin; Analytic functions on tubes of non-Archimedean analytic spaces, with an appendix by Christian Kappen [http://arxiv.org/abs/1510.01178 arXiv:1510.01178]; 10/2015 <br />
<br />
*[https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings]. On p-adic interpolation of motivic Eisenstein classes. [http://arxiv.org/pdf/1510.01466.pdf arxiv:1505.01466 math.NT]; 10/2015<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. The L^2-torsion function and the Thurston norm of 3-manifolds. [http://arxiv.org/pdf/1510.00264.pdf arXiv:1510.00264 math.GT]; 10/2015<br />
<br />
*O. Müller, N. Nowaczyk, A universal spinor bundle and the Einstein-Dirac-Maxwell equation as a variational theory, [https://arxiv.org/abs/1504.01034 arXiv:1504.01034 math.DG]; 10/2015<br />
<br />
*[https://gubler.app.uni-regensburg.de/ W. Gubler], [http://www.uni-regensburg.de/mathematics/mathematics-kuennemann/ K. Künnemann]. Positivity properties of metrics and delta-forms. [http://arxiv.org/abs/1509.09079 arXiv:150909079 math.AG]; 09/2015<br />
<br />
*[https://bunke.app.uni-regensburg.de U. Bunke], T. Nikolaus, G. Tamme. The Beilinson regulator is a map of ring spectra [http://arxiv.org/abs/1509.05667 arXiv:1509.05667 math.AG]; 09/2015<br />
<br />
*C. Löh. Odd manifolds of small integral simplicial volume [http://arxiv.org/abs/1509.00204 arXiv:1509.00204 math.GT]; 09/2015<br />
<br />
*P. Feller, S. Pohlmann, R. Zentner, Alternating numbers of torus knots with small braid index, [http://arxiv.org/abs/1508.05825 arXiv:1508.05825]; 08/2015<br />
<br />
* I. Barnea, [http://wwwmath.uni-muenster.de/u/joachim/ M. Joachim], S. Mahanta. Model structure on projective systems of C*-algebras and bivariant homology theories. [http://arxiv.org/abs/1508.04283 math.KT]; 08/2015<br />
<br />
*C. Löh, C. Pagliantini, S. Waeber. Cubical simplicial volume of 3-manifolds. [http://arxiv.org/abs/1508.03017 arXiv:1508.03017 math.GT]; 08/2015<br />
<br />
* B. Ammann, F. Madani, M. Pilca. The S^1-equivariant Yamabe invariant of 3-manifolds [http://arxiv.org/abs/1508.02727 arxiv:1508.02727 math.DG]; 08/2015<br />
<br />
*[https://gubler.app.uni-regensburg.de/ W. Gubler], J. Rabinoff, [https://www.uni-frankfurt.de/50278019/Werner A. Werner] Tropical Skeletons [https://arxiv.org/pdf/1508.01179.pdf arXiv:1508.01179 math.AG]; 08/2015<br />
<br />
*[https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. On infinitesimal Einstein deformations [https://arxiv.org/abs/1508.00721 arXiv:1508.00721 math.DG]; 08/2015<br />
<br />
*[https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. On the stability of Einstein manifolds [https://arxiv.org/abs/1311.6749 arXiv:1311.6749 math.DG]; 08/2015<br />
<br />
*F. Bambozzi. Closed graph theorems for bornological spaces. [http://arxiv.org/abs/1508.01563 arXiv:1508.01563 math.FA]; 08/2015<br />
<br />
*A. Mathew, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] Nilpotence and descent in equivariant stable homotopy theory. [http://www.sciencedirect.com/science/article/pii/S0001870815300062 Advances in Mathematics].<br />
<br />
*A. Mathew, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] Derived induction and restriction theory. [http://arxiv.org/abs/1507.06867 arxiv:1507.06867 math.AT].<br />
<br />
*[https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Stable and unstable Einstein warped products [https://arxiv.org/abs/1507.01782 arXiv:1507.01782 math.DG]; 07/2015<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], K. Schreve, S. Tillmann. Thurston norm via Fox calculus. [http://de.arxiv.org/pdf/1507.05660.pdf arXiv:1507.05660 math.GT]; 07/2015<br />
<br />
*X. Shen; Perfectoid Shimura varieties of abelian type [http://arxiv.org/abs/1507.01824 arXiv:1507.01824 math.NT]; 07/2015<br />
<br />
*R. Nakad, M. Pilca. Eigenvalue Estimates of the spin^c Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds. [https://arxiv.org/abs/1502.05252 arXiv:1502.05252 math.DG]; 07/2015<br />
<br />
*[http://www.mathematik.uni-muenchen.de/~dieter/ D. Kotschick], C. L&ouml;h, [https://www2.math.binghamton.edu/p/people/chrisneo/start C. Neofytidis]. On stability of non-domination under taking products. [http://arxiv.org/abs/1507.01413 arXiv:1507.01413 math.GT]; 07/2015<br />
<br />
*R. Frigerio, C. L&ouml;h, C. Pagliantini, [http://topology.math.kit.edu/english/21_53.php R. Sauer]. Integral foliated simplicial volume of aspherical manifolds. [http://arxiv.org/abs/1506.05567 arXiv:1506.05567 math.GT]; 06/2015<br />
<br />
*[https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Stability and instability of Ricci solitions [https://arxiv.org/abs/1403.3721 arXiv:1403.3721 math.DG]; 06/2015<br />
<br />
*[https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Rigidity and infinitesimal deformability of Ricci solitions [https://arxiv.org/abs/1408.6751 arXiv:1408.6751 math.DG]; 06/2015<br />
<br />
*O. Raventós. The hammock localization preserves homotopies. [http://arxiv.org/abs/1404.7354 arXiv:1404.7354]; new version 05/2015<br />
<br />
*M. Boileau, [https://friedl.app.uni-regensburg.de/ S. Friedl]. The profinite completion of $3$-manifold groups, fiberedness and the Thurston norm. [http://arxiv.org/pdf/arXiv:1505.07799 arXiv:1505.07799 math.GT]; 05/2015<br />
<br />
*S. Wang. Le système d'Euler de Kato en famille (II) [http://arxiv.org/abs/1312.6428 arXiv:1312.6428 math.NT]; new version 05/2015<br />
<br />
* A. Huber, [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings]. Polylogarithm for families of commutative group schemes [http://arxiv.org/pdf/1505.04574.pdf arxiv:1505.04574 math.AG]; 05/2015<br />
<br />
*M. Blank; Relative Bounded Cohomology for Groupoids [http://arxiv.org/abs/1505.05126 arXiv:1505.05126 math.AT]; 05/2015<br />
<br />
*A. Engel. Rough index theory on spaces of polynomial growth and contractibility. [http://arxiv.org/abs/1505.03988 arXiv:1505.03988 math.DG]; 05/2015<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, M. Nagel. A note on the existence of essential tribranched surfaces. [http://arxiv.org/pdf/arXiv:1505.01806 arXiv:arXiv:1505.01806 math.GT]; 05/2015<br />
<br />
*[http://mate.dm.uba.ar/~ghenry/index.html G. Henry]. Second Yamabe constant on Riemannian products. [http://arxiv.org/abs/1505.00981 arXiv:1505.00981 math.DG]; 05/2015<br />
<br />
* C. L&ouml;h. A note on bounded-cohomological dimension of discrete groups. [http://arxiv.org/abs/1504.05760 arXiv:1504.05760 math.GR]; 04/2015<br />
<br />
*[http://homepage.univie.ac.at/david.fajman/ D. Fajman], [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Stable fixed points of the Einstein flow with positive cosmological constant [https://arxiv.org/abs/1504.00687 arXiv:1504.00687 math.DG]; 04/2015<br />
<br />
*S. Mahanta. Algebraic K-theory, K-regularity, and T-duality of O<sub>&infin;</sub>-stable C*-algebras. [http://arxiv.org/abs/1311.4720 arXiv:1311.4720 math.KT]; new version 04/2015<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel. Twisted Reidemeister torsion and the Thurston norm: graph manifolds and finite representations. [http://arxiv.org/pdf/1503.07251 arXiv:1503.07251 math.GT]; 03/2015<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz]. A restriction isomorphism for cycles of relative dimension zero. [http://arxiv.org/abs/1503.08187 arXiv 1503.08187 math.AG]; 03/2015<br />
<br />
*M. Nagel, B. Owens. Unlinking information from 4-manifolds. [http://arxiv.org/abs/1503.03092 arXiv 1503.03092 math.GT]; 03/2015<br />
<br />
*[https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Loeffler, S. Zerbes. Rankin--Eisenstein classes and explicit reciprocity laws. [http://arxiv.org/pdf/1503.02888.pdf arxiv:1503.02888 math.NT]; 03/2015<br />
<br />
*B. Ammann, N. Große. Relations between threshold constants for Yamabe type bordism invariants. [http://arxiv.org/abs/1502.05232 arxiv:1502.05232 math.DG]; 02/2015<br />
<br />
*R. Cluckers, F. Martin. A definable, p-adic analogue of Kiszbraun’s Theorem on extensions of Lipschitz maps. [http://arxiv.org/abs/1502.03036 arxiv:1502.03036 math.AG]; 02/2015<br />
<br />
*S. Mahanta. Symmetric monoidal noncommutative spectra, strongly self-absorbing C*-algebras, and bivariant homology. [http://arxiv.org/abs/1403.4130 arXiv:1403.4130 math.KT]; new version 02/2015<br />
<br />
*A. Engel. Index theory of uniform pseudodifferential operators. [http://arxiv.org/abs/1502.00494 arXiv:1502.00494 math.DG]; 02/2015<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz]. Transfinite limits in topos theory. [http://arxiv.org/abs/1502.01923 arXiv:1502.01923 math.CT]; 02/2015<br />
<br />
*F. Bambozzi, O. Ben-Bassat. Dagger Geometry As Banach Algebraic Geometry. [http://arxiv.org/abs/1502.01401v1 arXiv:1502.01401v1 math.AG]; 02/2015<br />
<br />
* S. Mahanta. C*-algebraic drawings of dendroidal sets. [http://arxiv.org/abs/1501.05799 arXiv:1501.05799 math.OA]; 01/2015<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], S. Tillmann. Two-generator one-relator groups and marked polytopes. [http://arxiv.org/pdf/1501.03489v1.pdf arXiv:1501.03489 math.GR]; 01/2015<br />
<br />
*[https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Loeffler, S. Zerbes. Rankin-Eisenstein classes for modular forms. [http://arxiv.org/pdf/1501.03289.pdf arxiv:1501.03289 math.NT]; 01/2015 <br />
<br />
*R. Zentner. A class of knots with simple SU(2) representations. [http://arxiv.org/pdf/1501.02504.pdf arXiv:1501.02504 math.GT]; 01/2015<br />
<br />
*J. Lind, V. Angeltveit. Uniqueness of BP<n>. [http://arxiv.org/pdf/1501.01448.pdf arXiv:1501.01448 math.AT]; 01/2015<br />
<br />
*S. Mahanta. Colocalizations of noncommutative spectra and bootstrap categories. [http://arxiv.org/abs/1412.8370 arXiv:1412.8370 math.KT]; new version 01/2015<br />
<br />
===2014===<br />
<br />
*V. Diekert, F. Martin, [http://dept-info.labri.fr/~ges/ G. Sénizergues], [http://cmup.fc.up.pt/cmup/pvsilva/ P. V. Silva]: Equations over free inverse monoids with idempotent variables. [http://arxiv.org/abs/1412.4737 arxiv:1412.4737 cs.LO]; 12/2014<br />
<br />
*Harju A.J: Quantum Orbifolds. [http://arxiv.org/pdf/1412.4589v1.pdf arXiv:1412.4589 math.QA]; 12/2014<br />
<br />
* Harju A.J.: On Noncommutative Geometry of Orbifolds. [http://arxiv.org/pdf/1405.7139v4.pdf arXiv:1405.7139 math.DG]; 12/2014 (revision)<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel. 3-manifolds that can be made acyclic. [http://arxiv.org/pdf/1412.4280 arXiv:1412.4280 math.GT]; 12/2014<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Roessler. Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes. [http://arxiv.org/pdf/1412.2925v1.pdf arXiv:1412:2925 math.AG]; 12/2014<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], D. Silver, S. Wiliams. The Turaev and Thurston norms. [http://arxiv.org/pdf/1412.2406.pdf arXiv:1412.2406 math.GT]; 12/2014<br />
<br />
* [http://www.math.uni-hamburg.de/home/belgun/ F. Belgun] Geodesics and Submanifold Structures in Conformal Geometry. [https://arxiv.org/abs/1411.4404 arXiv:1411.4404 math.DG]; 11/2014<br />
<br />
*J. Dubois, [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. The L^2-Alexander torsion is symmetric. [http://arxiv.org/pdf/1411.2292.pdf arXiv:1411.2292 math.GT]; 11/2014<br />
<br />
*X. Shen. On the cohomology of some simple Shimura varieties with bad reduction. [http://arxiv.org/pdf/1411.0245v1.pdf arXiv:1411.0245 math.NT]; 11/2014<br />
<br />
*X. Shen. On the l-adic cohomology of some p-adically uniformized Shimura varieties. [http://arxiv.org/pdf/1411.0244v1.pdf arXiv:1411.0244 math.NT]; 11/2014<br />
<br />
* F. Martin. Overconvergent subanalytic subsets in the framework of Berkovich spaces [https://arxiv.org/abs/1211.6684 arXiv:1211.6684]; 10/2014<br />
<br />
*J. Dubois, [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. Three flavors of twisted invariants of knots. [http://arxiv.org/pdf/1410.6924.pdf arXiv:1410.6924 math.GT]; 10/2014<br />
<br />
*J. Dubois, [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. The L^2-Alexander torsion of 3-manifolds. [http://arxiv.org/pdf/1410.6918.pdf arXiv:1410.6918 math.GT]; 10/2014<br />
<br />
*A. Beilinson, [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], A. Levin. Topological polylogarithms and p-adic interpolation of L-values of totally real fields. [http://arxiv.org/pdf/1410.4741v1.pdf arXiv:1410:4741 math.NT]; 10/2014<br />
<br />
*M. Nagel. Minimal genus in circle bundles over 3-manifolds. [http://arxiv.org/pdf/1410.4018.pdf arXiv 1410.4018 math.GT]; 10/2014<br />
<br />
*[http://www.nullplug.org/ J. Noel] Nilpotence in the symplectic bordism ring. [http://arxiv.org/abs/1410.3847 arxiv 1410.3847 math.AT] To appear Cont. Mathematics.<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel, M. Powell. A specious unlinking strategy. [http://arxiv.org/pdf/1410.2052.pdf arXiv:1410.2052 math.GT]; 10/2014<br />
<br />
*[http://www.mimuw.edu.pl/~mcboro/ M. Borodzik], [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Powell. Blanchfield forms and Gordian distance [http://arxiv.org/pdf/1409.8421.pdf arXiv:1409.8421 math.GT]; 09/2014<br />
<br />
*[http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang]. p-adic interpolation and multiplicative orientations of KO and tmf. [http://arxiv.org/pdf/1409.5314v1.pdf arXiv:1409.5314 math.AT]; 09/2014<br />
<br />
*P. Jell. A Poincaré lemma for real valued differential forms on Berkovich spaces. [http://arxiv.org/abs/1409.0676 arXiv:1409:0676 math.AG]; 09/2014 [http://link.springer.com/article/10.1007%2Fs00209-015-1583-8 Publication at Mathematische Zeitschrift DOI: 10.1007/s00209-015-1583-8] 11/15<br />
<br />
*R. Scheider. The de Rham realization of the elliptic polylogarithm in families. [http://arxiv.org/abs/1408.3819 arXiv:1408.3819 math.AG]; 08/2014<br />
<br />
*G. Tamme. On an analytic version of Lazard's isomorphism. [http://arxiv.org/abs/1408.4301 arXiv:1408.4301 math.NT]; 08/2014<br />
<br />
*[https://gubler.app.uni-regensburg.de/ W. Gubler], [http://www.uni-regensburg.de/mathematics/mathematics-kuennemann/ K. Künnemann]. A tropical approach to non-archimedean Arakelov theory. [http://arxiv.org/abs/1406.7637 arXiv:1406.7637 math.AG]; 06/2014<br />
<br />
*[https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Loeffler, S. Zerbes. Rankin-Selberg Eulersystems and p-adic interpolation. [http://arxiv.org/pdf/1405.3079.pdf arxiv:1405.3079 math.NT]; 05/2014<br />
<br />
*A. Mathew, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] On a nilpotence conjecture of J.P. May. [http://arxiv.org/abs/1403.2023 arxiv:1403.2023 math.AT]; Journal of Topology, 12/2015.<br />
<br />
*[https://gubler.app.uni-regensburg.de/ W. Gubler], J. Rabinoff, [https://www.uni-frankfurt.de/50278019/Werner A. Werner] Skeletons and tropicalizations. [https://arxiv.org/pdf/1404.7044v3.pdf arXiv:1404.7044 math.AG]; 04/2014<br />
<br />
*C. Löh. Finite functorial semi-norms and representability. [http://arxiv.org/abs/1404.6557 arXiv:1404.6557 math.AT]; 04/2014</div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=AG-Seminar_WS2021/22:&diff=3116AG-Seminar WS2021/22:2025-05-12T11:27:17Z<p>Pol65357: </p>
<hr />
<div>'''AG Seminar''' <br />
<br />
'''Description:''' The aim of the Seminar is to present and discuss recent results in research areas from Homotopy Theory and K-theory to Global Analysis. <br />
<br />
'''Time and place:''' Thursday 12-14, SFB Lecture Hall.<br />
<br />
'''Zoom Link:''' https://uni-regensburg.zoom.us/j/7601042838?pwd=bUVEaHhuY01abmo4T3Fza1NZMEVNUT09<br />
<br />
<br />
'''Sommersemester 2025'''<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|24.4.2025 <br />
|Manifolds and analytic stacks <br />
|J. Mann (Bonn) <br />
|-<br />
|2<br />
|1.5.2025 <br />
|Holiday <br />
|<br />
|-<br />
|3<br />
|8.5.2025 <br />
| Effectivity of generalized double categories<br />
| Félix Loubaton<br />
|-<br />
|4<br />
|15.5.2025 <br />
|The tt-Spectrum of Integral Permutation Modules<br />
| Juan Omar Gomez (Bielefeld)<br />
|-<br />
|5<br />
|22.5.2025 <br />
|[[TBA]]<br />
|Remy van Dobben de Bruyn <br />
|-<br />
|6<br />
|29.5.2025 <br />
|Holiday<br />
| <br />
|-<br />
|7<br />
|5.6.2025 <br />
| <br />
| <br />
|-<br />
|8<br />
|12.6.2025 <br />
| <br />
| <br />
|-<br />
|9<br />
|19.6.2025 <br />
| tba<br />
| Can Yaylali<br />
|- <br />
|10<br />
|26.6.2025 <br />
| tba<br />
| Francesca Pratali<br />
|-<br />
|11<br />
|3.7.2025 <br />
| <br />
|<br />
|-<br />
|12<br />
|10.7.2025 <br />
| tba<br />
| Rune Haugseng<br />
|-<br />
|13<br />
|17.7.2025 <br />
| <br />
| <br />
|-<br />
|14<br />
|24.7.2025 <br />
| <br />
| <br />
|}<br />
<br />
<br />
<hr><hr><br />
<br />
'''Wintersemester 24/25'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|17.10.2024 <br />
|[[(∞,2)-Topoi and descent]]<br />
|Fernando Abellan Garcia (NTNU)<br />
|-<br />
|2<br />
|24.10.2024 <br />
| <br />
|<br />
|-<br />
|3<br />
|31.10.2024 <br />
|The geometric diagonal of the special linear algebraic cobordism<br />
|Egor Zolotarev (LMU)<br />
|-<br />
|4<br />
|07.11.2024 <br />
|[[Purity for Algebraic Stacks]]<br />
|Alessandro D'Angelo (KTH)<br />
|-<br />
|5<br />
|14.11.2024 <br />
| <br />
| <br />
|-<br />
|6<br />
|21.11.2024<br />
|Equivariant aspects of Hochschild homology<br />
|Zhouhang Mao (Univ. Amsterdam)<br />
|-<br />
|7<br />
|28.11.2024<br />
|[[Proof of the Deligne-Milnor conjecture]]<br />
|Massimo Pippi (Univ. Angers)<br />
|-<br />
|8<br />
|05.12.2024 <br />
|[[Classification of n-connective (2n-2)-truncated spaces]]<br />
|Daniel Exposito (Univ. Copenhagen) <br />
|-<br />
|9<br />
|12.12.2024 <br />
|[[K-theory for analytic spaces]] <br />
|Devarshi Mukherjee<br />
|- <br />
|10<br />
|19.12.2024 <br />
| <br />
| <br />
|-<br />
|11<br />
|09.01.2025 <br />
|Grothendieck-Witt theory of derived schemes<br />
|Marc Hoyois <br />
|-<br />
|12<br />
|16.01.2025 <br />
| <br />
| <br />
|-<br />
|13<br />
|23.01.2025<br />
|Model-Independent Lax Functors<br />
|Johannes Gloßner<br />
|-<br />
|14<br />
|30.01.2025<br />
|[[Higher enhancements of mixed Hodge modules]]<br />
|Swann Tubach (ENS Lyon)<br />
|-<br />
|15<br />
|06.02.2025<br />
|[[Limits of (∞, 1)-categories with Structure & Their Lax Morphisms]]<br />
|Joanna Ko (Masaryk University)<br />
|}<br />
<br />
<br />
<hr><hr><br />
<br />
'''SOMMER Semester 2024'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|18.4.2024 <br />
| <br />
| <br />
|-<br />
|2<br />
|25.04.2024 <br />
| A Functorial Rectification of Finitely Cocomplete ∞-Categories<br />
| Benni Ngo<br />
|-<br />
|3<br />
|02.05.2024 <br />
| Perverse sheaves and weak Lefschetz theorems<br />
| Denis-Charles Cisinski<br />
|-<br />
|4<br />
|09.05.2024 <br />
| No Seminar (Christi Himmelfahrt)<br />
| <br />
|-<br />
|5<br />
|16.05.2024 <br />
| this week, the whole seminar moves to Greifswald<br />
| <br />
|-<br />
|6<br />
|23.05.2024<br />
| Grothendieck construction and representation theorem for lax double presheaves<br />
| Benedikt Fröhlich<br />
|-<br />
|7<br />
|30.05.2024<br />
| No seminar (Corpus Christi)<br />
| <br />
|-<br />
|8<br />
|06.06.2024 <br />
|[[Étale motives of geometric origin]]<br />
| Raphaël Ruimy (Milan)<br />
|-<br />
|9<br />
|13.06.2024 <br />
|[[A general Greenlees-Mays splitting principle]]<br />
|Ivo Dell'Ambrogio (Lille)<br />
|- <br />
|10<br />
|20.06.2024 <br />
|[[Categorical Künneth formulas]]<br />
|Timo Richarz (TU Darmstadt)<br />
|-<br />
|11<br />
|27.06.2024 <br />
|Conference <br />
| <br />
|-<br />
|12<br />
|04.07.2024 <br />
|[[The tempered dual of reductive symmetric spaces, C*-algebras, and K-theory]]<br />
|Shintaro Nishikawa (Southampton)<br />
|-<br />
|13<br />
|11.07.2024<br />
|N.N <br />
|Pelle Steffens (Munich)<br />
|-<br />
|14<br />
|18.07.2024<br />
| [[Animated λ-rings and Frobenius lifts]]<br />
| Edith Hübner (Münster)<br />
|-<br />
|}<br />
<br />
<br />
<br />
<hr><hr><br />
<br />
<br />
'''Winter Semester 2023/24'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|19.10.2023 <br />
|[[On the motivic Adams conjecture]]<br />
|Alexey Ananyevskiy<br />
|-<br />
|2<br />
|26.10.2023 <br />
|[[Dualizable categories and E-Theory]]<br />
|Benjamin Dünzinger/Ulrich Bunke<br />
|-<br />
|3<br />
|02.11.2023 <br />
|[[Dualizable categories and E-Theory-II]]<br />
|Benjamin Dünzinger/Ulrich Bunke<br />
|-<br />
|4<br />
|09.11.2023 <br />
|[[A pro-cdh topology and motivic cohomology of schemes]] <br />
|Shuji Saito<br />
|-<br />
|5<br />
|16.11.2023<br />
|Cohomological invariants of quadrics via Morava motives<br />
|Pavel Sechin <br />
|-<br />
|6<br />
|23.11.2023<br />
|Formal category theory within ∞-categorical proarrow equipments<br />
|Jaco Ruit<br />
|-<br />
|7<br />
|30.11.2023<br />
| <br />
| <br />
|-<br />
|8<br />
|07.12.2023<br />
|[[Motivic cohomology of mixed characteristic schemes]]<br />
|Tess Bouis<br />
|-<br />
|9<br />
|14.12.2023 <br />
|[[Six-functor formalisms are compactly supported]]<br />
|Josefien Kuijper<br />
|-<br />
|10<br />
|21.12.2023<br />
|Towards a pro-étale homotopy type of schemes<br />
| Sebastian wolf<br />
|-<br />
|11<br />
|11.01.2024<br />
|<br />
| <br />
|-<br />
|12<br />
|18.01.2024<br />
|Gabber's presentation lemma over a general base<br />
|Suraj Yadav <br />
|-<br />
|13<br />
|25.01.2024<br />
|[[Chow-Lefschetz motives]]<br />
|Bruno Kahn<br />
|-<br />
|14<br />
|01.02.2024<br />
|[[Topological Modular Forms and supersymmetric quantum field theories]]<br />
|Mayuko Yamashita <br />
|-<br />
|15<br />
|08.02.2024<br />
|[[Group completion of E_n-spaces and infinite products]]<br />
|Georg Lehner (FU Berlin)<br />
|-<br />
|}<br />
<br />
<br />
<br />
<hr><hr><br />
<br />
<br />
<br />
<br />
<br />
'''Summer Semester 2023'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|20.04.2023 <br />
| <br />
| <br />
|-<br />
|2<br />
|27.04.2023 '''12:30'''<br />
|Universality and Examples in the Context of Functorial Semi-Norms (PhD defense) <br />
|Johannes Witzig <br />
|-<br />
|3<br />
|04.05.2023 <br />
|No seminar <br />
| <br />
|-<br />
|4<br />
|11.05.2023 <br />
|tba<br />
|Hoang Kim Nguyen<br />
|-<br />
|5<br />
|18.05.2023<br />
|No seminar (holiday)<br />
| <br />
|-<br />
|6<br />
|25.05.2023<br />
|[[Separability in homotopical algebra]]<br />
|Maxime Ramzi (Copenhagen) <br />
|-<br />
|7<br />
|01.06.2023<br />
|[[Blow-ups and normal bundles in nonconnective derived geometry]] <br />
|Jeroen Hekking<br />
|-<br />
|8<br />
|08.06.2023<br />
|No seminar (holiday)<br />
|<br />
|-<br />
|9<br />
|15.06.2023 <br />
|The theorem of the heart<br />
|Giacomo Bertizzolo <br />
|-<br />
|10<br />
|22.06.2023<br />
|[[Shapes and locally constant sheaves]]<br />
| Marc Hoyois<br />
|-<br />
|11<br />
|29.06.2023<br />
|Norms and Transfers in Motivic Homotopy Theory<br />
|Brian Shin<br />
|-<br />
|12<br />
|06.07.2023<br />
|[[On the category of localizing motives]]<br />
|Alexander Efimov<br />
|-<br />
|13<br />
|13.07.2023<br />
|Twisted ambidexterity in equivariant homotopy theory<br />
|Bastiaan Cnossen<br />
|-<br />
|14<br />
|20.07.2023<br />
| (reserved)<br />
| <br />
|-<br />
|}<br />
<br />
<br />
<hr> <hr><br />
<br />
<br />
'''Winter Semester 22/23'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|20.10.2022 <br />
|Model categories for o-minimal geometry <br />
|Reid Barton (Univ. Freiburg) <br />
|-<br />
|2<br />
|27.10.2022<br />
| <br />
| <br />
|-<br />
|3<br />
|03.11.2022 '''[online]'''<br />
|The reductive Borel-Serre compactification as a model for unstable algebraic K-theory <br />
|Mikala Ørsnes Jansen (Copenhagen) <br />
|-<br />
| 4<br />
|10.11.2022 <br />
| [[Traces and categorification]]<br />
| Bastiaan Cnossen (Bonn) <br />
|-<br />
|5<br />
|17.11.2022<br />
|no seminar<br />
| <br />
|-<br />
|6<br />
|24.11.2022<br />
| [[Cut and paste invariants of manifolds via K-theory]]<br />
| Julia Semikina (Münster)<br />
|-<br />
|7<br />
|01.12.2022 <br />
|Discussion on Duality and Transfer I: Becker-Gottlieb transfer, Atiyah-Duality and A-theory transfer <br />
|Bunke/Winges/Raptis <br />
|-<br />
|8<br />
|08.12.2022<br />
|Discussion on Duality and Transfer II: Fibrewise duality and transfer, functoriality <br />
|N.N <br />
|-<br />
|9<br />
|15.12.2022 <br />
|[[Unipotent homotopy theory of schemes]]<br />
|Shubhodip Mondal (MPIM Bonn) <br />
|-<br />
|10<br />
|22.12.2023<br />
|[[The stable cohomology of symplectic groups of the integers]] <br />
|Fabian Hebestreit (Aberdeen)<br />
|-<br />
|11<br />
|12.01.2023<br />
|[[The logic of étale maps]]<br />
|Mathieu Anel (Carnegie Mellon University) <br />
|-<br />
|12<br />
|19.01.2023<br />
|[[Decoupling Moduli of Configurations Spaces on Surfaces]]<br />
|Luciana Basualdo Bonatto (MPIM Bonn)<br />
|-<br />
|13<br />
|26.01.2023<br />
|The K_2-analogue of Bass-Quillen conjecture and A1-fundamental groups of Chevalley groups. <br />
|Sergey Sinchuk (Munich, JetBrains GmbH) <br />
|-<br />
|14<br />
|02.02.2023<br />
|Genuine equivariant hermitian K-theory for finite groups<br />
|Kaif Hilman (MPIM Bonn) <br />
|-<br />
|15<br />
|09.02.2023 <br />
| Proper morphisms of infinity topoi<br />
| Louis Martini (NTNU Trondheim)<br />
|}<br />
<br />
<hr><hr><br />
<br />
<br />
'''Summer Semester 2022'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|28.04.2022 <br />
| Devissage in algebraic K-theory (0) <br />
| George Raptis<br />
|-<br />
|2<br />
|05.05.2022<br />
| Devissage in algebraic K-theory (1)<br />
| Marco Volpe<br />
|-<br />
|3<br />
|12.05.2022<br />
| <br />
| <br />
|-<br />
| 4<br />
| 19.05.2022 '''[online]'''<br />
| [[Universal cohomology theories]] <br />
| Luca Barbieri Viale (Milan) <br />
|-<br />
|5<br />
|26.05.2022<br />
| Christi-Himmelfahrt<br />
| -<br />
|-<br />
|6<br />
| 02.06.2022<br />
| [[Cdh motivic cohomology via prisms]]<br />
| E. Elmanto (Harvard) <br />
|-<br />
|7<br />
| 09.06.2022 '''[online]'''<br />
| [[Exponential periods and o-minimality]]<br />
| Johan Commelin (Freiburg) <br />
|-<br />
|8<br />
| 16.06.2022<br />
| Fronleichnam<br />
| -<br />
|-<br />
|9<br />
| 23.06.2022<br />
| [[Excisive Approximation of l^1-Homology]]<br />
| J. Witzig (Regensburg) <br />
|-<br />
|10<br />
| 30.06.2022<br />
| <br />
| <br />
|-<br />
|11<br />
| 07.07.2022<br />
| Posets for which Verdier duality holds<br />
| Ko Aoki (MPIM Bonn)<br />
|-<br />
|12<br />
| 14.07.2022<br />
| [[Synthetic (∞,1)-category theory in simplicial homotopy type theory]]<br />
| Jonathan Weinberger (Johns Hopkins University)<br />
|-<br />
|13<br />
| 21.07.2022<br />
| Artin motivic tensor-triangular geometry<br />
| Martin Gallauer (MPIM Bonn)<br />
|-<br />
|14<br />
| 28.07.2022<br />
| X. Bavarian Geometry & Topology Meeting <br />
| (Augsburg)<br />
|}<br />
<br />
<hr><hr><br />
<br />
<br />
'''Winter Semester 2021/22'''<br />
<br />
<br />
'''Schedule'''<br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|21.10.2021 <br />
| Derived microlocal sheaf theory<br />
| Adeel Khan (Academia Sinica)<br />
|-<br />
|2<br />
|28.10.2021<br />
| <br />
| <br />
|-<br />
|3<br />
|4.11.2021 <br />
| Bounded cohomology and homotopy colimits<br />
| George Raptis<br />
|-<br />
| 4<br />
| 11.11.2021<br />
| [[Filter Quotient ∞-Categories]]<br />
| Nima Rasekh (EPFL)<br />
|-<br />
|5<br />
|18.11.2021<br />
| *****<br />
| SFB Meeting in Windberg<br />
|-<br />
|6<br />
| 25.11.2021<br />
| [[Quadratic enrichments of enumerative counts using Atiyah-Bott localization]]<br />
| Sabrina Pauli (Duisburg-Essen)<br />
|-<br />
|7<br />
| 2.12.2021<br />
| [[The Chow t-structure on the ∞-category of motivic spectra]]<br />
| Tom Bachmann (LMU)<br />
|-<br />
|8<br />
| 9.12.2021<br />
| G-global homotopy theory and algebraic K-theory<br />
| Tobias Lenz (Bonn)<br />
|-<br />
|9<br />
| 16.12.2021<br />
| *****<br />
| [http://frenck.net/Math/BGTM/ 9th Bavarian Geometry & Topology Meeting]<br />
|-<br />
|10<br />
| 13.1.2022<br />
| [[cancelled]]<br />
|<br />
|-<br />
|11<br />
| 20.1.2022<br />
| [[Topological Fukaya categories of symmetric powers]]<br />
| Tobias Dyckerhoff (Hamburg)<br />
|-<br />
|12<br />
| 27.1.2022<br />
| [[Unstraightening for Segal spaces]]<br />
| Joost Nuiten (Toulouse)<br />
|-<br />
|13<br />
| 3.2.2022<br />
| [[Polynomial monads, Grothendieck homotopy theory and delooping of spaces of long knots]]<br />
| Michael Batanin (Prague)<br />
|-<br />
|14<br />
| 10.2.2022<br />
| [[Homotopy links and stratified homotopy theories]]<br />
| Sylvain Douteau (Stockholm)<br />
|}</div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=AG-Seminar_WS2021/22:&diff=3115AG-Seminar WS2021/22:2025-05-12T11:23:58Z<p>Pol65357: </p>
<hr />
<div>'''AG Seminar''' <br />
<br />
'''Description:''' The aim of the Seminar is to present and discuss recent results in research areas from Homotopy Theory and K-theory to Global Analysis. <br />
<br />
'''Time and place:''' Thursday 12-14, SFB Lecture Hall.<br />
<br />
'''Zoom Link:''' https://uni-regensburg.zoom.us/j/7601042838?pwd=bUVEaHhuY01abmo4T3Fza1NZMEVNUT09<br />
<br />
<br />
'''Sommersemester 2025'''<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|24.4.2025 <br />
|Manifolds and analytic stacks <br />
|J. Mann (Bonn) <br />
|-<br />
|2<br />
|1.5.2025 <br />
|Holiday <br />
|<br />
|-<br />
|3<br />
|8.5.2025 <br />
| Effectivity of generalized double categories<br />
| Félix Loubaton<br />
|-<br />
|4<br />
|16.5.2025 <br />
|The tt-Spectrum of Integral Permutation Modules<br />
| Juan Omar Gomez (Bielefeld)<br />
|-<br />
|5<br />
|22.5.2025 <br />
|[[TBA]]<br />
|Remy van Dobben de Bruyn <br />
|-<br />
|6<br />
|29.5.2025 <br />
|Holiday<br />
| <br />
|-<br />
|7<br />
|5.6.2025 <br />
| <br />
| <br />
|-<br />
|8<br />
|12.6.2025 <br />
| <br />
| <br />
|-<br />
|9<br />
|19.6.2025 <br />
| tba<br />
| Can Yaylali<br />
|- <br />
|10<br />
|26.6.2025 <br />
| tba<br />
| Francesca Pratali<br />
|-<br />
|11<br />
|3.7.2025 <br />
| <br />
|<br />
|-<br />
|12<br />
|10.7.2025 <br />
| tba<br />
| Rune Haugseng<br />
|-<br />
|13<br />
|17.7.2025 <br />
| <br />
| <br />
|-<br />
|14<br />
|24.7.2025 <br />
| <br />
| <br />
|}<br />
<br />
<br />
<hr><hr><br />
<br />
'''Wintersemester 24/25'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|17.10.2024 <br />
|[[(∞,2)-Topoi and descent]]<br />
|Fernando Abellan Garcia (NTNU)<br />
|-<br />
|2<br />
|24.10.2024 <br />
| <br />
|<br />
|-<br />
|3<br />
|31.10.2024 <br />
|The geometric diagonal of the special linear algebraic cobordism<br />
|Egor Zolotarev (LMU)<br />
|-<br />
|4<br />
|07.11.2024 <br />
|[[Purity for Algebraic Stacks]]<br />
|Alessandro D'Angelo (KTH)<br />
|-<br />
|5<br />
|14.11.2024 <br />
| <br />
| <br />
|-<br />
|6<br />
|21.11.2024<br />
|Equivariant aspects of Hochschild homology<br />
|Zhouhang Mao (Univ. Amsterdam)<br />
|-<br />
|7<br />
|28.11.2024<br />
|[[Proof of the Deligne-Milnor conjecture]]<br />
|Massimo Pippi (Univ. Angers)<br />
|-<br />
|8<br />
|05.12.2024 <br />
|[[Classification of n-connective (2n-2)-truncated spaces]]<br />
|Daniel Exposito (Univ. Copenhagen) <br />
|-<br />
|9<br />
|12.12.2024 <br />
|[[K-theory for analytic spaces]] <br />
|Devarshi Mukherjee<br />
|- <br />
|10<br />
|19.12.2024 <br />
| <br />
| <br />
|-<br />
|11<br />
|09.01.2025 <br />
|Grothendieck-Witt theory of derived schemes<br />
|Marc Hoyois <br />
|-<br />
|12<br />
|16.01.2025 <br />
| <br />
| <br />
|-<br />
|13<br />
|23.01.2025<br />
|Model-Independent Lax Functors<br />
|Johannes Gloßner<br />
|-<br />
|14<br />
|30.01.2025<br />
|[[Higher enhancements of mixed Hodge modules]]<br />
|Swann Tubach (ENS Lyon)<br />
|-<br />
|15<br />
|06.02.2025<br />
|[[Limits of (∞, 1)-categories with Structure & Their Lax Morphisms]]<br />
|Joanna Ko (Masaryk University)<br />
|}<br />
<br />
<br />
<hr><hr><br />
<br />
'''SOMMER Semester 2024'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|18.4.2024 <br />
| <br />
| <br />
|-<br />
|2<br />
|25.04.2024 <br />
| A Functorial Rectification of Finitely Cocomplete ∞-Categories<br />
| Benni Ngo<br />
|-<br />
|3<br />
|02.05.2024 <br />
| Perverse sheaves and weak Lefschetz theorems<br />
| Denis-Charles Cisinski<br />
|-<br />
|4<br />
|09.05.2024 <br />
| No Seminar (Christi Himmelfahrt)<br />
| <br />
|-<br />
|5<br />
|16.05.2024 <br />
| this week, the whole seminar moves to Greifswald<br />
| <br />
|-<br />
|6<br />
|23.05.2024<br />
| Grothendieck construction and representation theorem for lax double presheaves<br />
| Benedikt Fröhlich<br />
|-<br />
|7<br />
|30.05.2024<br />
| No seminar (Corpus Christi)<br />
| <br />
|-<br />
|8<br />
|06.06.2024 <br />
|[[Étale motives of geometric origin]]<br />
| Raphaël Ruimy (Milan)<br />
|-<br />
|9<br />
|13.06.2024 <br />
|[[A general Greenlees-Mays splitting principle]]<br />
|Ivo Dell'Ambrogio (Lille)<br />
|- <br />
|10<br />
|20.06.2024 <br />
|[[Categorical Künneth formulas]]<br />
|Timo Richarz (TU Darmstadt)<br />
|-<br />
|11<br />
|27.06.2024 <br />
|Conference <br />
| <br />
|-<br />
|12<br />
|04.07.2024 <br />
|[[The tempered dual of reductive symmetric spaces, C*-algebras, and K-theory]]<br />
|Shintaro Nishikawa (Southampton)<br />
|-<br />
|13<br />
|11.07.2024<br />
|N.N <br />
|Pelle Steffens (Munich)<br />
|-<br />
|14<br />
|18.07.2024<br />
| [[Animated λ-rings and Frobenius lifts]]<br />
| Edith Hübner (Münster)<br />
|-<br />
|}<br />
<br />
<br />
<br />
<hr><hr><br />
<br />
<br />
'''Winter Semester 2023/24'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|19.10.2023 <br />
|[[On the motivic Adams conjecture]]<br />
|Alexey Ananyevskiy<br />
|-<br />
|2<br />
|26.10.2023 <br />
|[[Dualizable categories and E-Theory]]<br />
|Benjamin Dünzinger/Ulrich Bunke<br />
|-<br />
|3<br />
|02.11.2023 <br />
|[[Dualizable categories and E-Theory-II]]<br />
|Benjamin Dünzinger/Ulrich Bunke<br />
|-<br />
|4<br />
|09.11.2023 <br />
|[[A pro-cdh topology and motivic cohomology of schemes]] <br />
|Shuji Saito<br />
|-<br />
|5<br />
|16.11.2023<br />
|Cohomological invariants of quadrics via Morava motives<br />
|Pavel Sechin <br />
|-<br />
|6<br />
|23.11.2023<br />
|Formal category theory within ∞-categorical proarrow equipments<br />
|Jaco Ruit<br />
|-<br />
|7<br />
|30.11.2023<br />
| <br />
| <br />
|-<br />
|8<br />
|07.12.2023<br />
|[[Motivic cohomology of mixed characteristic schemes]]<br />
|Tess Bouis<br />
|-<br />
|9<br />
|14.12.2023 <br />
|[[Six-functor formalisms are compactly supported]]<br />
|Josefien Kuijper<br />
|-<br />
|10<br />
|21.12.2023<br />
|Towards a pro-étale homotopy type of schemes<br />
| Sebastian wolf<br />
|-<br />
|11<br />
|11.01.2024<br />
|<br />
| <br />
|-<br />
|12<br />
|18.01.2024<br />
|Gabber's presentation lemma over a general base<br />
|Suraj Yadav <br />
|-<br />
|13<br />
|25.01.2024<br />
|[[Chow-Lefschetz motives]]<br />
|Bruno Kahn<br />
|-<br />
|14<br />
|01.02.2024<br />
|[[Topological Modular Forms and supersymmetric quantum field theories]]<br />
|Mayuko Yamashita <br />
|-<br />
|15<br />
|08.02.2024<br />
|[[Group completion of E_n-spaces and infinite products]]<br />
|Georg Lehner (FU Berlin)<br />
|-<br />
|}<br />
<br />
<br />
<br />
<hr><hr><br />
<br />
<br />
<br />
<br />
<br />
'''Summer Semester 2023'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|20.04.2023 <br />
| <br />
| <br />
|-<br />
|2<br />
|27.04.2023 '''12:30'''<br />
|Universality and Examples in the Context of Functorial Semi-Norms (PhD defense) <br />
|Johannes Witzig <br />
|-<br />
|3<br />
|04.05.2023 <br />
|No seminar <br />
| <br />
|-<br />
|4<br />
|11.05.2023 <br />
|tba<br />
|Hoang Kim Nguyen<br />
|-<br />
|5<br />
|18.05.2023<br />
|No seminar (holiday)<br />
| <br />
|-<br />
|6<br />
|25.05.2023<br />
|[[Separability in homotopical algebra]]<br />
|Maxime Ramzi (Copenhagen) <br />
|-<br />
|7<br />
|01.06.2023<br />
|[[Blow-ups and normal bundles in nonconnective derived geometry]] <br />
|Jeroen Hekking<br />
|-<br />
|8<br />
|08.06.2023<br />
|No seminar (holiday)<br />
|<br />
|-<br />
|9<br />
|15.06.2023 <br />
|The theorem of the heart<br />
|Giacomo Bertizzolo <br />
|-<br />
|10<br />
|22.06.2023<br />
|[[Shapes and locally constant sheaves]]<br />
| Marc Hoyois<br />
|-<br />
|11<br />
|29.06.2023<br />
|Norms and Transfers in Motivic Homotopy Theory<br />
|Brian Shin<br />
|-<br />
|12<br />
|06.07.2023<br />
|[[On the category of localizing motives]]<br />
|Alexander Efimov<br />
|-<br />
|13<br />
|13.07.2023<br />
|Twisted ambidexterity in equivariant homotopy theory<br />
|Bastiaan Cnossen<br />
|-<br />
|14<br />
|20.07.2023<br />
| (reserved)<br />
| <br />
|-<br />
|}<br />
<br />
<br />
<hr> <hr><br />
<br />
<br />
'''Winter Semester 22/23'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|20.10.2022 <br />
|Model categories for o-minimal geometry <br />
|Reid Barton (Univ. Freiburg) <br />
|-<br />
|2<br />
|27.10.2022<br />
| <br />
| <br />
|-<br />
|3<br />
|03.11.2022 '''[online]'''<br />
|The reductive Borel-Serre compactification as a model for unstable algebraic K-theory <br />
|Mikala Ørsnes Jansen (Copenhagen) <br />
|-<br />
| 4<br />
|10.11.2022 <br />
| [[Traces and categorification]]<br />
| Bastiaan Cnossen (Bonn) <br />
|-<br />
|5<br />
|17.11.2022<br />
|no seminar<br />
| <br />
|-<br />
|6<br />
|24.11.2022<br />
| [[Cut and paste invariants of manifolds via K-theory]]<br />
| Julia Semikina (Münster)<br />
|-<br />
|7<br />
|01.12.2022 <br />
|Discussion on Duality and Transfer I: Becker-Gottlieb transfer, Atiyah-Duality and A-theory transfer <br />
|Bunke/Winges/Raptis <br />
|-<br />
|8<br />
|08.12.2022<br />
|Discussion on Duality and Transfer II: Fibrewise duality and transfer, functoriality <br />
|N.N <br />
|-<br />
|9<br />
|15.12.2022 <br />
|[[Unipotent homotopy theory of schemes]]<br />
|Shubhodip Mondal (MPIM Bonn) <br />
|-<br />
|10<br />
|22.12.2023<br />
|[[The stable cohomology of symplectic groups of the integers]] <br />
|Fabian Hebestreit (Aberdeen)<br />
|-<br />
|11<br />
|12.01.2023<br />
|[[The logic of étale maps]]<br />
|Mathieu Anel (Carnegie Mellon University) <br />
|-<br />
|12<br />
|19.01.2023<br />
|[[Decoupling Moduli of Configurations Spaces on Surfaces]]<br />
|Luciana Basualdo Bonatto (MPIM Bonn)<br />
|-<br />
|13<br />
|26.01.2023<br />
|The K_2-analogue of Bass-Quillen conjecture and A1-fundamental groups of Chevalley groups. <br />
|Sergey Sinchuk (Munich, JetBrains GmbH) <br />
|-<br />
|14<br />
|02.02.2023<br />
|Genuine equivariant hermitian K-theory for finite groups<br />
|Kaif Hilman (MPIM Bonn) <br />
|-<br />
|15<br />
|09.02.2023 <br />
| Proper morphisms of infinity topoi<br />
| Louis Martini (NTNU Trondheim)<br />
|}<br />
<br />
<hr><hr><br />
<br />
<br />
'''Summer Semester 2022'''<br />
<br />
<br />
'''Schedule''' <br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|28.04.2022 <br />
| Devissage in algebraic K-theory (0) <br />
| George Raptis<br />
|-<br />
|2<br />
|05.05.2022<br />
| Devissage in algebraic K-theory (1)<br />
| Marco Volpe<br />
|-<br />
|3<br />
|12.05.2022<br />
| <br />
| <br />
|-<br />
| 4<br />
| 19.05.2022 '''[online]'''<br />
| [[Universal cohomology theories]] <br />
| Luca Barbieri Viale (Milan) <br />
|-<br />
|5<br />
|26.05.2022<br />
| Christi-Himmelfahrt<br />
| -<br />
|-<br />
|6<br />
| 02.06.2022<br />
| [[Cdh motivic cohomology via prisms]]<br />
| E. Elmanto (Harvard) <br />
|-<br />
|7<br />
| 09.06.2022 '''[online]'''<br />
| [[Exponential periods and o-minimality]]<br />
| Johan Commelin (Freiburg) <br />
|-<br />
|8<br />
| 16.06.2022<br />
| Fronleichnam<br />
| -<br />
|-<br />
|9<br />
| 23.06.2022<br />
| [[Excisive Approximation of l^1-Homology]]<br />
| J. Witzig (Regensburg) <br />
|-<br />
|10<br />
| 30.06.2022<br />
| <br />
| <br />
|-<br />
|11<br />
| 07.07.2022<br />
| Posets for which Verdier duality holds<br />
| Ko Aoki (MPIM Bonn)<br />
|-<br />
|12<br />
| 14.07.2022<br />
| [[Synthetic (∞,1)-category theory in simplicial homotopy type theory]]<br />
| Jonathan Weinberger (Johns Hopkins University)<br />
|-<br />
|13<br />
| 21.07.2022<br />
| Artin motivic tensor-triangular geometry<br />
| Martin Gallauer (MPIM Bonn)<br />
|-<br />
|14<br />
| 28.07.2022<br />
| X. Bavarian Geometry & Topology Meeting <br />
| (Augsburg)<br />
|}<br />
<br />
<hr><hr><br />
<br />
<br />
'''Winter Semester 2021/22'''<br />
<br />
<br />
'''Schedule'''<br />
<br />
{|border="1"<br />
!No<br />
!Date<br />
!Title / Abstract<br />
!Speaker<br />
|-<br />
|1<br />
|21.10.2021 <br />
| Derived microlocal sheaf theory<br />
| Adeel Khan (Academia Sinica)<br />
|-<br />
|2<br />
|28.10.2021<br />
| <br />
| <br />
|-<br />
|3<br />
|4.11.2021 <br />
| Bounded cohomology and homotopy colimits<br />
| George Raptis<br />
|-<br />
| 4<br />
| 11.11.2021<br />
| [[Filter Quotient ∞-Categories]]<br />
| Nima Rasekh (EPFL)<br />
|-<br />
|5<br />
|18.11.2021<br />
| *****<br />
| SFB Meeting in Windberg<br />
|-<br />
|6<br />
| 25.11.2021<br />
| [[Quadratic enrichments of enumerative counts using Atiyah-Bott localization]]<br />
| Sabrina Pauli (Duisburg-Essen)<br />
|-<br />
|7<br />
| 2.12.2021<br />
| [[The Chow t-structure on the ∞-category of motivic spectra]]<br />
| Tom Bachmann (LMU)<br />
|-<br />
|8<br />
| 9.12.2021<br />
| G-global homotopy theory and algebraic K-theory<br />
| Tobias Lenz (Bonn)<br />
|-<br />
|9<br />
| 16.12.2021<br />
| *****<br />
| [http://frenck.net/Math/BGTM/ 9th Bavarian Geometry & Topology Meeting]<br />
|-<br />
|10<br />
| 13.1.2022<br />
| [[cancelled]]<br />
|<br />
|-<br />
|11<br />
| 20.1.2022<br />
| [[Topological Fukaya categories of symmetric powers]]<br />
| Tobias Dyckerhoff (Hamburg)<br />
|-<br />
|12<br />
| 27.1.2022<br />
| [[Unstraightening for Segal spaces]]<br />
| Joost Nuiten (Toulouse)<br />
|-<br />
|13<br />
| 3.2.2022<br />
| [[Polynomial monads, Grothendieck homotopy theory and delooping of spaces of long knots]]<br />
| Michael Batanin (Prague)<br />
|-<br />
|14<br />
| 10.2.2022<br />
| [[Homotopy links and stratified homotopy theories]]<br />
| Sylvain Douteau (Stockholm)<br />
|}</div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Research&diff=2791Research2024-12-03T13:33:51Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
{{Template:Topics}}<br />
<br />
{{Template:Projects and principal investigators}}<br />
<br />
== Publications/Preprints (in reverse chronological order) ==<br />
<br />
=== 2024 ===<br />
* N. Naumann, [https://sites.google.com/view/lucapol/home L. Pol], Maxime Ramzi, Separable commutative algebras in equivariant homotopy theory. [https://arxiv.org/abs/2411.06845 arXiv:2411.06845];11/2024<br />
<br />
* N. Naumann, [https://sites.google.com/view/lucapol/home L. Pol], Maxime Ramzi, A symmetric monoidal fracture square. [https://arxiv.org/abs/2411.05467 arXiv:2411.05467];11/2024<br />
<br />
* [https://hoyois.app.ur.de M. Hoyois]. Remarks on the motivic sphere without A^1-invariance, [https://arxiv.org/abs/2410.16757 arxiv:2410.16757]; 10/2024<br />
<br />
* N. Deshmukh, [https://sites.google.com/view/surajyadav/ S. Yadav]. A^1- connected stacky curves and the Brauer group of moduli of elliptic curves, [https://arxiv.org/abs/2410.01525 arxiv:2410.01525]; 10/2024<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz]. A non-abelian version of Deligne's Fixed Part Theorem, [https://arxiv.org/abs/2408.13910 arXiv:2408.13910]; 08/2024.<br />
<br />
* [https://kevinlimath.wordpress.com/ K. Li], [https://loeh.app.ur.de C. L&ouml;h], M. Moraschini, R. Sauer, [https://homepages.uni-regensburg.de/~usm34387/ M. Uschold]. The algebraic cheap rebuilding property, [https://arxiv.org/abs/2409.05774 arXiv:2409.05774]; 09/2024. <br />
<br />
* [https://homepages.uni-regensburg.de/~hof61178/ F. Hofmann] A vanishing criterion for cup products and Massey products in bounded cohomology. [https://arxiv.org/pdf/2407.17034 arXiv:2407.17034];07/2024<br />
<br />
* [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], R. Haugseng, T. Lenz, S. Linskens. Normed equivariant ring spectra and higher Tambara functors, [https://arxiv.org/abs/2407.08399 arXiv:2407.08399]; 07/2024<br />
<br />
* Adrian Clough, [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], S. Linskens. Global spaces and the homotopy theory of stacks, [https://arxiv.org/abs/2407.06877 arXiv:2407.06877]; 07/2024<br />
<br />
* D. Gepner, S. Linskens, [https://sites.google.com/view/lucapol/home L. Pol] Global 2-rings and genuine refinements. [https://arxiv.org/pdf/2407.05124 arXiv:2407.05124];07/2024<br />
<br />
* Z. Li, [https://sites.google.com/view/ysqin/ Y.Qin]. On p-torsions of geometric Brauer groups, [https://arxiv.org/abs/2406.19518 arXiv:2406.19518]; 06/2024<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], G. Tamme. A remark on crystalline cohomology. [https://arxiv.org/abs/2406.19772 arXiv:2406.19772];06/2024<br />
<br />
* F. Hebestreit, M. Land, M. Weiss, [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. Homology manifolds and euclidean bundles [https://arxiv.org/abs/2406.14677 arXiv:2406.14677]; 06/2024<br />
<br />
* [https://sites.google.com/view/ysqin/ Y.Qin]. On the Brauer groups of fibrations. Math. Z. 307, 18 (2024), [https://doi.org/10.1007/s00209-024-03487-8 published version]; 04/2024<br />
<br />
* [https://www.math.cit.tum.de/en/algebra/karlsson/ E. Karlsson], [https://www.math.cit.tum.de/en/algebra/scheimbauer/ C. I. Scheimbauer], [https://www.math.cit.tum.de/en/algebra/personen/walde/ T. Walde]. Assembly of constructible factorization algebras, [https://arxiv.org/abs/2403.19472 arXiv:2403.19472]; 03/2024<br />
<br />
* T. Annala, [https://hoyois.app.ur.de M. Hoyois], R. Iwasa. Atiyah duality for motivic spectra, [https://arxiv.org/abs/2403.01561 arXiv:2403.01561 math.AG]; 03/2024<br />
<br />
* [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], T. Lenz, S. Linskens. Parametrized higher semiadditivity and the universality of spans, [https://arxiv.org/abs/2403.07676 arXiv:2403.07676]; 03/2024<br />
<br />
* [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], R. Haugseng, T. Lenz, S. Linskens. Homotopical commutative rings and bispans, [https://arxiv.org/abs/2403.06911 arXiv:2403.06911]; 03/2024<br />
<br />
* M. Ramzi, [https://vova-sosnilo.com/ V. Sosnilo], [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. Every spectrum is the K-theory of a stable &infin;-category, [https://arxiv.org/abs/2401.06510 arXiv:2401.06510]; 01/2024<br />
<br />
* N. Naumann, [https://sites.google.com/view/lucapol/home L. Pol], Separable commutative algebras and Galois theory in stable homotopy theories. [https://arxiv.org/abs/2305.01259 arXiv:2305.01259]; Advances in Mathematics 1/2024<br />
<br />
=== 2023 ===<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz]. Semi-stable Lefschetz Pencils, [https://arxiv.org/abs/2311.15886 arXiv:2311.15886]; 11/2023<br />
<br />
* L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Proper morphisms of infinity-topoi, [https://arxiv.org/abs/2311.08051 arxiv:2311.08051]; 11/2023.<br />
<br />
* [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], T. Lenz, S. Linskens. The Adams isomorphism revisited, [https://arxiv.org/abs/2311.04884 arXiv:2311.04884]; 11/2023<br />
<br />
* B. Ammann, C.Löh, [http://www.berndammann.de/publications/minimal-geodesics/ A quadratic lower bound for the number of minimal geodesics], [https://arxiv.org/abs/2311.01626 arXiv:2311.01626]; 11/2023.<br />
<br />
* M. Pippi. On some (co)homological invariants of coherent matrix factorizations, J. Noncommut. Geom. (2023), arXiv version: [https://arxiv.org/abs/2011.14740]; 08/2023.<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h], [https://graptismath.net G. Raptis]. A roadmap to the (vanishing of the) Euler characteristic, [https://arxiv.org/abs/2306.16933 arXiv:2306.16933 math.GT]; the poster version can be found [https://go.ur.de/euler-roadmap here]; 06/2023<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h]. Exponential growth rates in hyperbolic groups (after Koji Fujiwara and Zlil Sela), Exposée 1206 for the Séminaire Bourbaki (April 2023), [https://arxiv.org/abs/2304.04424 arXiv:2304.04424 math.GR]; 04/2023<br />
<br />
* [https://homepages.uni-regensburg.de/~glj57400/index.html J. Glöckle], Initial data rigidity via Dirac-Witten operators, [https://arxiv.org/abs/2304.02331 arXiv:2304.02331 math.DG]; 04/2023.<br />
<br />
* R. Gualdi, M. Sombra. Limit heights and special values of the Riemann zeta function, [https://arxiv.org/abs/2304.01966 arXiv:2304.01966 math.NT]; 04/2023.<br />
<br />
* P. Haine, Tim Holzschuh, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Nonabelian base change theorems & étale homotopy theory, [https://arxiv.org/abs/2304.00938 arXiv:2304.00938 math.AG]; 04/2023.<br />
<br />
* Tobias Barthel, Natalia Castellana, Drew Heard, Niko Naumann, [https://sites.google.com/view/lucapol/home L. Pol], Beren Sanders, Descent in tensor triangular geometry. [https://arxiv.org/abs/2305.02308 arXiv:2305.02308]; Proceedings of the Abel Symposium 2022, 3/2023<br />
<br />
* L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Internal higher topos theory, [https://arxiv.org/abs/2303.06437 arXiv:2303.06437 math.CT]; 03/2023.<br />
<br />
* T. Annala, [https://hoyois.app.uni-regensburg.de M. Hoyois], R. Iwasa. Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory, [https://arxiv.org/abs/2303.02051 arXiv:2303.02051 math.AG]; 03/2023. To appear in J. Amer. Math. Soc.<br />
<br />
* M. Grant, [https://kevinlimath.wordpress.com/ K. Li], E. Meir, I. Patchkoria. Comparison of equivariant cohomological dimensions, [https://arxiv.org/abs/2302.08574 arXiv:2302.08574 math.AT]; 02/2023.<br />
<br />
* D. Beraldo, M. Pippi. Non-commutative nature of ℓ-adic vanishing cycles, [https://arxiv.org/abs/2302.10120 arXiv:2302.10120 math.AG]; 02/2023.<br />
<br />
* [https://homepages.uni-regensburg.de/~gur23971/ R. Gualdi]. ¿Cu&aacute;ntas ra&iacute;ces de la unidad anulan un polinomio en dos variables?, La Gaceta de la Real Sociedad Matem&aacute;tica Espa&ntilde;ola 26 (2023), 149 — 172; 02/2023 (divulgative article)<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h]. A comment on the structure of graded modules over graded principal ideal domains in the context of persistent homology, [https://arxiv.org/abs/2301.11756 arXiv:2301.11756 math.AC]; 01/2023<br />
<br />
* M. Christ, T. Dyckerhoff, [https://www.math.cit.tum.de/en/algebra/personen/walde/ T. Walde]. Lax additivity, [https://arxiv.org/abs/2402.12251 arXiv:2402.12251]; 01/2023.<br />
<br />
* M. Christ, T. Dyckerhoff, [https://www.math.cit.tum.de/en/algebra/personen/walde/ T. Walde]. Complexes of stable ∞-categories, [https://arxiv.org/abs/2301.02606 arXiv:2301.02606]; 01/2023.<br />
<br />
* T. Barthel, N. Castellana, D. Heard, [https://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [https://sites.google.com/view/lucapol/home L. Pol] Quillen stratification in equivariant homotopy theory.[https://arxiv.org/abs/2301.02212 ArXiv:2301.02212], to appear in Inventiones Mathematicae;01/2023<br />
<br />
=== 2022 ===<br />
* A. Hogadi, S. Yadav. A^1-connectivity of moduli of vector bundles on a curve. [https://arxiv.org/abs/2110.05799 arXiv:2110.05799v2]; 12/22 (updated and final version) <br />
<br />
*[https://homepages.uni-regensburg.de/~usm34387/ M. Uschold].Torsion homology growth and cheap rebuilding of inner-amenablegroups, [https://arxiv.org/abs/2212.07916 arXiv: 2212.07916math.GR]; 12/2022.<br />
<br />
* D. Beraldo, M. Pippi. Non-commutative intersection theory and unipotent Deligne-Milnor formula, [https://arxiv.org/abs/2211.11717 arXiv:2211.11717 math.AG]; 11/2022.<br />
<br />
* [https://homepages.uni-regensburg.de/~glj57400/index.html J. Glöckle], An Enlargeability Obstruction for Spacetimes with both Big Bang and Big Crunch, [https://arxiv.org/abs/2111.02656 arXiv:2111.02656 math.DG]; 11/2022.<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h], G. Sartori. Integral foliated simplicial volume and ergodic decomposition, [https://arxiv.org/abs/2211.00337 arXiv:2211.00337 math.GT]; 11/2022<br />
<br />
* [https://vova-sosnilo.com/ V. Sosnilo]. A^1-invariance of localizing invariants, [https://arxiv.org/abs/2211.05602 arXiv:2211.05602]; 10/2022; to appear in Journal of K-theory<br />
<br />
* [https://hoyois.app.uni-regensburg.de M. Hoyois], Joachim Jelisiejew, [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], [https://www.muramatik.com M. Yakerson]. Hermitian K-theory via oriented Gorenstein algebras. [https://arxiv.org/abs/2103.15474 arXiv:2103.15474]; 09/2022<br />
<br />
* D.-C. Cisinski, M. Pippi. Étale tame vanishing cycles over [A^1_S/G_{m,S}], [https://arxiv.org/abs/2209.13381 arXiv:2209.13381]; 09/2022.<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h], [https://homepages.uni-regensburg.de/~prj05723/ J. Witzig]. Universal finite functorial semi-norms, [https://arxiv.org/abs/2209.12971 arXiv:2209.12971 math.CT]; 09/2022<br />
<br />
* L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Presentable categories internal to an infinity-topos, [https://arxiv.org/abs/2209.05103 arxiv:2209.05103 math.CT]; 09/2022<br />
<br />
* P. Haine, Tim Holzschuh, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], The fundamental fiber sequence in étale homotopy theory, [https://doi.org/10.1093/imrn/rnad018 International Mathematics Research Notices]<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h]. Exploring Formalisation. A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology, Surveys and Tutorials in the Applied Mathematical Sciences, volume 11, Springer, [https://doi.org/10.1007/978-3-031-14649-7 DOI 10.1007/978-3-031-14649-7], [https://loeh.app.uni-regensburg.de/exploring-formalisation/ project homepage (including Lean src)], 09/2022.<br />
<br />
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, J. Rathore, Tame class field theory over local fields, [https://arxiv.org/abs/2209.02953 arXiv:2209.02953]; 09/2022<br />
<br />
* [https://people.math.ethz.ch/~bbrueck/ B. Br&uuml;ck], [https://people.math.ethz.ch/~fournief/ F. Fournier Facio], [https://loeh.app.ur.de C. L&ouml;h]. Median quasimorphisms on CAT(0) cube complexes and their cup products, [https://arxiv.org/abs/2209.05811 arXiv:2209.05811 math.GR]; 09/2022<br />
<br />
* B. Ammann, [http://www.berndammann.de/publications/diracharm3/ On Triviality of Dirac-harmonic maps], [https://arxiv.org/abs/2209.03074 arXiv:2209.03074]; 09/2022.<br />
<br />
* S. Linskens, D. Nardin, [https://sites.google.com/view/lucapol/home L. Pol]. Global homotopy theory via partially lax limits. [https://arxiv.org/abs/2206.01556 arXiv:2206.01556]; to appear in Geometry and Topology, 06/2022<br />
<br />
*[https://loeh.app.ur.de C. L&ouml;h]. The spectrum of simplicial volume with fixed fundamental group, [https://arxiv.org/abs/2205.14877 arXiv:2205.14877 math.GT]; 05/2022<br />
<br />
*[https://www.uni-regensburg.de/mathematics/mathematics-pippi/startseite/index.html M. Pippi]. On the structure of dg categories of relative singularities, updated version [https://arxiv.org/abs/1911.01332 arXiv:1911.01332v2]; 05/2022<br />
<br />
*[https://hk-nguyen-math.github.io H.K. Nguyen], Taichi Uemura. ∞-type theories, [https://arxiv.org/abs/2205.00798 arXiv:2205.00789]; 05/2022<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], C. Kausik, J. P. Quintanilha. An algorithm to calculate generalized Seifert matrices, [https://arxiv.org/abs/2204.10004 arXiv:2204.10004 math.GT]; 04/2022<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], [https://homepages.uni-regensburg.de/~mif57716/index.html F. Misev], R. Zentner. Rational homology ribbon cobordism is a partial order, [https://arxiv.org/abs/2204.10730 arXiv:2204.10730 math.GT]; 04/2022<br />
<br />
* Y. Fang, [https://gubler.app.uni-regensburg.de/ W. Gubler], [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html K. Künnemann]. On the non-archimedean Monge-Ampère equation in mixed characteristic. [https://arxiv.org/abs/2203.12282 arXiv:2203.12282]; 03/2022<br />
<br />
* [https://homepages.uni-regensburg.de/~prj05723/ J. Witzig]. Abstract Excision and ℓ¹-Homology, [https://arxiv.org/abs/2203.06120 arXiv:2203.06120 math.AT]; 03/2022<br />
<br />
* [https://kevinlimath.wordpress.com/ K. Li], C. L&ouml;h, M. Moraschini. Bounded acyclicity and relative simplicial volume, [https://arxiv.org/abs/2202.05606 arXiv:2202.05606 math.AT]; 02/2022<br />
<br />
* C. L&ouml;h, [https://homepages.uni-regensburg.de/~usm34387 M. Uschold]. L^2-Betti numbers and computability of reals, [https://arxiv.org/abs/2202.03159 arXiv:2202.03159 math.GR]; 02/2022<br />
<br />
=== 2021 ===<br />
<br />
* C. L&ouml;h, M. Moraschini, [https://topology.math.kit.edu/21_53.php R. Sauer]. Amenable covers and integral foliated simplicial volume, [https://arxiv.org/abs/2112.12223 arXiv:2112.12223 math.GT]; 12/2021<br />
<br />
* L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Limits and colimits in internal higher category theory, [https://arxiv.org/abs/2111.14495 arxiv:2111.14495 math.CT]; 11/2021<br />
<br />
* [https://people.math.ethz.ch/~fournief/ F. Fournier Facio], C. L&ouml;h, M. Moraschini. Bounded cohomology and binate groups, [https://arxiv.org/abs/2111.04305 arXiv:2111.04305 math.GR]; 11/2021<br />
<br />
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, J. Rathore, A decomposition theorem for 0-cycles and applications, [https://arxiv.org/abs/2109.10037 arXiv:2109.10037]; 09/2021<br />
<br />
* C. L&ouml;h, M. Moraschini, [https://www.graptismath.net G. Raptis]. On the simplicial volume and the Euler characteristic of (aspherical) manifolds, [https://arxiv.org/abs/2109.08115 arXiv:2109.08115 math.AT]; 09/2021<br />
<br />
* A. A. Khan, C. Ravi. Generalized cohomology theories for algebraic stacks. [https://arxiv.org/abs/2106.15001 arXiv:2106.15001]; 06/2021<br />
<br />
* [https://people.math.ethz.ch/~fournief/ F. Fournier Facio], C. L&ouml;h, M. Moraschini. Bounded cohomology of finitely generated groups: vanishing, non-vanishing, and computability, [https://arxiv.org/abs/2106.13567 arXiv:2106.13567 math.GR]; 06/2021<br />
<br />
* [https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. Local Gorenstein duality in chromatic group cohomology. [https://arxiv.org/abs/2106.08669 arXiv:2106.08669]; 06/2021<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], [https://homepages.uni-regensburg.de/~mul37549/ L. Munser], J. P. Quintanilha, Y. Santos Rego. Canonical decompositions and algorithmic recognition of spatial graphs, [https://arxiv.org/abs/2105.06905 arXiv:2105.06905 math.GT]; 05/2021<br />
<br />
* M. Moraschini, [https://graptismath.net/index.html G. Raptis]. Amenability and acyclicity in bounded cohomology theory, [https://arxiv.org/abs/2105.02821 arXiv:2105.02821 math.AT]; 05/2021<br />
<br />
* C. L&ouml;h, M. Moraschini. Topological volumes of fibrations: A note on open covers, [https://arxiv.org/abs/2104.06038 arXiv:2104.06038 math.GT]; 04/2021<br />
<br />
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Ramified class field theory and duality over finite fields, [https://arxiv.org/abs/2104.03029 arXiv:2104.03029]; 04/2021<br />
<br />
* [https://graptismath.net/index.html G. Raptis]. Bounded cohomology and homotopy colimits, [https://arxiv.org/abs/2103.15614 arXiv:2103.15614]; 03/2021<br />
<br />
* B. Ammann, [http://homepages.uni-regensburg.de/~glj57400/ J. Glöckle], [https://arxiv.org/abs/2103.11032 arXiv:2103.11032]; 03/2021.<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], S. Saito, G. Tamme. K-theory of non-archimedean rings II. [https://arxiv.org/abs/2103.06711 arXiv:2103.06711]; 03/2021<br />
<br />
* [https://hk-nguyen-math.github.io/ H. K. Nguyen], [https://graptismath.net/index.html G. Raptis], C. Schrade. Higher weak (co)limits, adjoint functor theorems, and higher Brown representability, [https://arxiv.org/abs/2103.06003 arXiv:2103.06003]; 03/2021<br />
<br />
* F. Hanisch, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold. [https://arxiv.org/abs/1709.10027 arXiv:1709.10027]; 03/2021<br />
<br />
* F. Hanisch, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. The Fermionic integral on loop space and the Pfaffian line bundle. [https://arxiv.org/abs/1709.10028 arXiv:1709.10028]; 03/2021<br />
<br />
* B. Güneysu, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. The Chern Character of theta-summable Fredholm Modules over dg Algebras and Localization on Loop Space. [https://arxiv.org/abs/1901.04721 arXiv:1901.04721]; 03/2021<br />
<br />
* J.I. Burgos Gil, [https://gubler.app.uni-regensburg.de/ W. Gubler], P. Jell, [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html K. Künnemann]. Pluripotential theory for tropical toric varieties and non-archimedean Monge-Ampére equations. [https://arxiv.org/abs/2102.07392 arXiv:2102.07392]; 02/2021<br />
<br />
* [https://sites.google.com/view/lucapol/home L. Pol], N.P. Strickland. Representation stability and outer automorphism groups. [https://arxiv.org/abs/2102.06410 arxiv:2102.06410]; 02/2021<br />
<br />
* T. Fenzl. Extended skeletons of poly-stable pairs, [https://arxiv.org/abs/2102.05130 arxiv:2102.05130]; 02/2021<br />
<br />
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Idele class groups with modulus, [https://arxiv.org/abs/2101.04609 arXiv:2101.04609]; 01/2021<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz]. Local systems with quasi-unipotent monodromy at infinity are dense, [https://arxiv.org/abs/2101.00487 arXiv:2101.00487]; 01/2021<br />
<br />
=== 2020 ===<br />
<br />
* [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], The pro-étale topos as a category of pyknotic presheaves, Doc. Math. 27, 2067-2106 (2022) 12/2020<br />
<br />
* B. Ammann, J. Mougel, V. Nistor. A regularity result for the bound states of N-body Schrödinger operators: Blow-ups and Lie manifolds [https://arxiv.org/abs/2012.13902 arXiv:2012.13902]; 12/2020.<br />
<br />
* J.I. Burgos Gil, [https://sites.google.com/view/souvikgoswami S. Goswami], G. Pearlstein. Height Pairing on Higher Cycles and Mixed Hodge Structures. Proceedings of the London Mathematical Society, 125 (2022), Issue 1, 61-170 [https://doi.org/10.1112/plms.12443].<br />
<br />
* P. Capovilla, M. Moraschini, C. L&ouml;h. Amenable category and complexity, [https://arxiv.org/abs/2012.00612 arXiv:2012.00612]; 12/2020.<br />
<br />
* S.Balchin, J.P.C. Greenlees, [https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. Torsion model for tensor triangulated categories: the one-step case. [https://arxiv.org/abs/2011.10413 arXiv:2011.10413]; 11/2020<br />
<br />
* [https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. The homotopy theory of complete modules. [https://arxiv.org/abs/2011.06989 arXiv:2011.06989]; 11/2020<br />
<br />
* S. Boucksom, [https://gubler.app.uni-regensburg.de/ W. Gubler], F. Martin. Non-Archimedean volumes of metrized nef line bundles. [https://arxiv.org/abs/2011.06986 arXiv:2011.06986]; 11/2020<br />
<br />
* T. Bachmann, A. A. Khan, C. Ravi, V. Sosnilo. Categorical Milnor squares and K-theory of algebraic stacks. [https://arxiv.org/abs/2011.04355 arXiv:2011.04355]; 11/2020<br />
<br />
* P. Dolce, [https://homepages.uni-regensburg.de/~gur23971/ R. Gualdi], Numerical equivalence of ℝ-divisors and Shioda-Tate formula for arithmetic varieties, [https://arxiv.org/abs/2010.16134 arXiv:2010.16134]; 10/2020<br />
<br />
* N. Heuer, C. L&ouml;h, The spectrum of simplicial volume of non-compact manifolds, [https://arxiv.org/abs/2010.12945 arXiv:2010.12945]; 10/2020.<br />
<br />
*[https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], Z. Yi, A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, [https://arxiv.org/abs/2010.05892 arXiv:2010.05892]; 10/2020.<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], C. L&ouml;h, Epimorphism testing with virtually Abelian targets, [https://arxiv.org/abs/2010.07537 arXiv:2010.07537]; 10/2020.<br />
<br />
* N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], New upper bounds for spherical codes and packings, [https://arxiv.org/abs/2001.00185 arXiv:2001.00185]; 09/2020<br />
<br />
* C. Ravi, B. Sreedhar. Virtual equivariant Grothendieck-Riemann-Roch formula. [https://arxiv.org/abs/2009.09697 arXiv:2009.09697]; 09/2020<br />
<br />
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings [http://arxiv.org/abs/2009.07225 arXiv:2009.07225]; 09/2020<br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry. [https://arxiv.org/abs/2009.07688 arXiv:2009.07688]; 09/2020. To appear in Comm. Math. Phys.<br />
<br />
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity [https://arxiv.org/abs/2009.07224 arXiv:2009.07224]; 09/2020<br />
<br />
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories I: Foundations [http://arxiv.org/abs/2009.07223 arXiv:2009.07223]; 09/2020<br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], Motivic invariants of symmetric powers, [https://arxiv.org/abs/2009.06986, arXiv:2009.06986]; 09/2020<br />
<br />
* [https://hoyois.app.uni-regensburg.de M. Hoyois], Joachim Jelisiejew, [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], Burt Totaro, [https://www.muramatik.com M. Yakerson]. The Hilbert scheme of infinite affine space and algebraic K-theory. [https://arxiv.org/abs/2002.11439 arXiv:2002.11439]; 09/2020<br />
<br />
* Y. Kezuka, Tamagawa number divisibility of central L-values of twists of the Fermat elliptic curve. [https://arxiv.org/abs/2003.02772 arXiv:2003.02772 math.NT]; 08/2020 <br />
<br />
* E. Elmanto, [https://homepages.uni-regensburg.de/~nad22969/research.php D. Nardin] and L. Yang. A descent view on Mitchell's theorem [https://arxiv.org/abs/2008.02821 arXiv:2008.02821]; 08/2020<br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Reciprocity for Kato-Saito idele class group with modulus, [https://arxiv.org/abs/2008.05719 arXiv:2008.05719]; 08/2020<br />
<br />
* S. Baader, R. Blair, A. Kjuchukova and [https://homepages.uni-regensburg.de/~mif57716/ F. Misev]. The bridge number of arborescent links with many twigs. [https://arxiv.org/abs/2008.00763 arXiv:2008.00763]; 08/2020<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, L. Lewark, M. Nagel and M. Powell. Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials. [https://arxiv.org/abs/2007.15289 arXiv:2007.15289]; 08/2020<br />
<br />
* G. Herrmann and J. P. Quintanilha. The Complex of Hypersurfaces in a Homology Class. [https://arxiv.org/abs/2007.00522 arXiv:2007.00522]; 07/2020<br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], S. Roos. The Chiral Anomaly of the Free Fermion in Functorial Field Theory. [https://arxiv.org/abs/2010.05892 arXiv:2010.05892]; Ann. Henri Poincare, 21:1191-1233, 06/2020.<br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Good Wannier bases in Hilbert modules associated to topological insulators. [https://arxiv.org/abs/1904.13051 arXiv:1904.13051]; J. Math. Phys., 61, 061902, 06/2020.<br />
<br />
* A. Galateau and [https://cesar-martinez-math.weebly.com C. Martínez]. Homothéties explicites des représentations ℓ-adiques. [https://arxiv.org/abs/2006.07401 arXiv:2006.07401]; 06/2020<br />
<br />
* H. Esnault and M. Kerz. Density of Arithmetic Representations of Function Fields. [https://arxiv.org/abs/2005.12819 arXiv:2005.12819]; 05/2020<br />
<br />
* S. Boucksom, [https://gubler.app.uni-regensburg.de/ W. Gubler], F. Martin. Differentiability of relative volumes over an arbitrary non-archimedean field. [https://arxiv.org/abs/2004.03847 arXiv:2004.03847]; 04/2020<br />
<br />
* [https://ekvv.uni-bielefeld.de/pers_publ/publ/PersonDetail.jsp?personId=412153703&lang=en A. M. Botero] and J. I. Burgos Gil. Toroidal b-divisors and Monge-Ampére measures. [https://arxiv.org/abs/2004.14045 arXiv.2004.1405]; 04/2020<br />
<br />
* K. van Woerden. Quantifying Quillen's Uniform Fp-isomorphism Theorem. [https://arxiv.org/abs/1711.10206v2 arXiv:1711.10206v2 math. AT]; 03/2020<br />
<br />
*[https://drew-heard.github.io/ D. Heard]. The topological nilpotence degree of a Noetherian unstable algebra. [https://arxiv.org/abs/2003.13267 arXiv:2003.13267]; 03/2020<br />
<br />
* [https://www.fernuni-hagen.de/juniorprofessur-algebra/team/steffen.kionke.shtml S. Kionke], C. L&ouml;h. A note on p-adic simplicial volumes, [https://arxiv.org/abs/2003.10756 arXiv:2003.10756 math.GT]; 03/2020<br />
<br />
*[https://www.icmat.es/miembros/burgos/index.html Burgos Gil, José Ignacio]; [https://gubler.app.uni-regensburg.de/ Gubler, Walter]; P. Jell; [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html Künnemann, Klaus]: A comparison of positivity in complex and tropical toric geometry. [https://arxiv.org/abs/2003.08644 arXiv:2003.08644 math.AG]; 03/2020.<br />
<br />
* C. L&ouml;h. Ergodic theoretic methods in group homology. A minicourse on L2-Betti numbers in group theory. SpringerBriefs in Mathematics, Springer, [https://www.springer.com/gp/book/9783030442194 DOI 10.1007/978-3-030-44220-0] 03/2020.<br />
<br />
* C. L&ouml;h, M. Moraschini. Simplicial volume via normalised cycles, [https://arxiv.org/abs/2003.02584 arXiv:2003.02584 math.AT]; 03/2020<br />
<br />
* [https://homepages.uni-regensburg.de/~gur23971/ R. Gualdi], [https://cesar-martinez-math.weebly.com C. Martínez], Higher dimensional essential minima and equidistribution of cycles, [https://arxiv.org/abs/2001.11468 arXiv:2001.11468]; 01/2020<br />
<br />
* [http://markus-land.de M. Land], [http://www.staff.science.uu.nl/~meier007/ L. Meier], G. Tamme, Vanishing results for chromatic localizations of algebraic K-theory. [https://arxiv.org/abs/2001.10425 arXiv:2001.10425]; 01/2020<br />
<br />
* T. Barthel, [https://drew-heard.github.io/ D. Heard], N. Castellana, G. Valenzuela. Local Gorenstein duality for cochains on spaces. [https://arxiv.org/abs/2001.02580 arXiv:2001.02580]; 01/2020. Journal of Pure and Applied Algebra, Volume 225, Issue 2, February 2021<br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Cobordism invariance of topological edge-following states. [https://arxiv.org/abs/2001.08339 arXiv:2001.08339]; 01/2020. <br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], A. Stoffel. A framework for geometric field theories and their classification in dimension one. [https://arxiv.org/abs/2001.05721 arXiv:2001.05721]; 01/2020. <br />
<br />
<br />
=== 2019 ===<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], Eisenstein-Kronecker classes, integrality of critical values of Hecke L-functions and p-adic interpolation,[https://arxiv.org/abs/1912.03657 arXiv:1912.03657]; 12/2019<br />
<br />
* M. Moraschini, Alessio Savini. Multiplicative constants and maximal measurable cocycles in bounded cohomology. [https://arxiv.org/abs/1912.09731 arXiv:1912.09731]; 12/2019<br />
<br />
* [https://friedl.app.uni-regensburg.de/ Stefan Friedl], Stefano Vidussi. BNS Invariants and Algebraic Fibrations of Group Extensions. [https://arxiv.org/abs/1912.10524 arXiv:1912.10524]; 12/2019<br />
<br />
* [http://people.dm.unipi.it/frigerio/ R. Frigerio], M. Moraschini. Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume, [https://arxiv.org/abs/1808.07307 arXiv:1808.07307 math.GT]; 12/2019; To appear in Memoirs of the American Mathematical Society.<br />
<br />
* [https://ekvv.uni-bielefeld.de/pers_publ/publ/PersonDetail.jsp?personId=412153703&lang=en A. M. Botero], J. I. Burgos Gil and M. Sombra. Convex analysis on polyhedral spaces. [https://arxiv.org/abs/1911.04821 arXiv:1911.04821]; 11/2019<br />
<br />
* Y. Kezuka, Y. Li, A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial. [https://arxiv.org/abs/1911.04532 arXiv:1911.04532 math.NT]; 11/2019<br />
<br />
* N. Heuer, C. L&ouml;h. Transcendental simplicial volumes, [https://arxiv.org/abs/1911.06386 arXiv:1911.006386 math.GT]; 11/2019<br />
<br />
* N. Heuer, C. L&ouml;h. Simplicial volume of one-relator groups and stable commutator length, [https://arxiv.org/abs/1911.02470 arXiv:1911.02470 math.GT]; 11/2019<br />
<br />
* T. Bachmann, E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, [https://www.muramatik.com M. Yakerson]. On the infinite loop spaces of algebraic cobordism and the motivic sphere. [https://arxiv.org/abs/1911.02262 arXiv:1911.02262]; 11/2019<br />
<br />
* C. L&ouml;h, [https://topology.math.kit.edu/english/21_53.php R. Sauer]. Bounded cohomology of amenable covers via classifying spaces, [https://arxiv.org/abs/1910.11716 arXiv:1910.11716 math.AT]; 10/2019<br />
<br />
* B. Ammann; J. Mougel; V. Nistor, A comparison of the Georgescu and Vasy spaces associated to the N-body problems. [https://arxiv.org/abs/1910.10656 arXiv:1910.10656 math-ph]; 10/2019<br />
<br />
* [https://ekvv.uni-bielefeld.de/pers_publ/publ/PersonDetail.jsp?personId=412153703&lang=en A. M. Botero]. The Convex-Set Algebra and intersection theory on the Toric Riemann-Zariski Space. [https://arxiv.org/abs/1909.08262 arXiv.1909.08262]; 09/2019<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel, P. Orson, M. Powell. A survey of the foundations of four-manifold theory in the topological category. [http://arxiv.org/abs/1910.07372 arXiv:1910.07372]; 10/2019<br />
<br />
* D. Fauser, C. L&ouml;h, M. Moraschini, J. P. Quintanilha. Stable integral simplicial volume of 3-manifolds, [https://arxiv.org/abs/1910.06120 arXiv:1910.06120 math.GT]; 10/2019<br />
<br />
* [https://sites.google.com/view/masoudzargar M.Zargar], Riemannian structures and point-counting, [https://arxiv.org/abs/1910.04003 arXiv:1910.04003]; 10/2019<br />
<br />
* [https://sites.google.com/view/masoudzargar M.Zargar], Comparison of stable homotopy categories and a generalized Suslin-Voevodsky theorem, [https://www.sciencedirect.com/science/article/pii/S0001870819303548 Advances in Mathematics, vol. 354]; 10/2019<br />
<br />
* [https://www.preschema.com A.A. Khan]. Virtual excess intersection theory. [https://arxiv.org/abs/1909.13829 arXiv:1909.13829]; 09/2019<br />
<br />
* P. Jell, Tropical cohomology with integral coefficients for analytic spaces. [https://arxiv.org/abs/1909.12633 arXiv:1909.12633 math.AG]; 09/2019<br />
<br />
* V. Wanner, Energy Minimization Principle for non-archimedean curves. [https://arxiv.org/abs/1909.11335 arXiv:1909.11335]; 09/2019.<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [http://www.lemiller.net/ L.E. Miller]. Witt differentials in the h-topology. [https://arxiv.org/abs/1703.08868 arXiv:1703.08868 math.AC]; Journal of Pure and Applied Algebra, vol. 223, no. 12, 12/2019, pp. 5285-5309.<br />
<br />
* N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], Ramanujan graphs and exponential sums over function fields, [https://arxiv.org/abs/1909.07365 arXiv:1909.07365]; 09/2019<br />
<br />
* [https://www.preschema.com A.A. Khan]. Virtual fundamental classes of derived stacks I. [https://arxiv.org/abs/1909.01332 arXiv:1909.01332]; 09/2019<br />
<br />
* M. Moraschini, Alessio Savini. A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices. [https://arxiv.org/pdf/1909.00846.pdf arXiv:1909.00846]; 09/2019 To appear in Transformation Groups.<br />
<br />
* Imre Bokor, Diarmuid Crowley, [https://friedl.app.uni-regensburg.de/ S. Friedl], Fabian Hebestreit, Daniel Kasprowski, [http://markus-land.de/ Markus Land], Johnny Nicholson Connected sum decompositions of high-dimensional manifolds. [http://arxiv.org/abs/1909.02628 arXiv:1909.02628]; 09/2019<br />
<br />
*M. Lüders, Algebraization for zero-cycles and the p-adic cycle class map, Mathematical Research Letters, [https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0026/0002/a008/index.php Volume 26] (2019) Number 2, pp. 557-585.<br />
<br />
*M. Lüders, A restriction isomorphism for zero cyclces with coefficients in Milnor K-theory, Cambridge Journal of Mathematics, [https://www.intlpress.com/site/pub/pages/journals/items/cjm/content/vols/0007/0001/a001/index.php Volume 7] (2019) Number 1-2, pp. 1-31.<br />
<br />
* A. Engel, Ch. Wulff, R. Zeidler. Slant products on the Higson-Roe exact sequence, [https://arxiv.org/abs/1909.03777 arXiv:1909.03777 math.KT]; 09/2019<br />
<br />
* S. Baader, I. Banfield, [http://lewark.de/lukas/ L. Lewark]. Untwisting 3-strand torus knots. [http://arxiv.org/abs/1909.01003 arXiv:1909.01003]; 09/2019<br />
<br />
* E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, M. Yakerson. Modules over algebraic cobordism. [https://arxiv.org/abs/1908.02162 arXiv:1908.02162]; 08/2019<br />
<br />
* N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], Sections of quadrics over A^1_{F_q}, [https://arxiv.org/abs/1907.07839v2 arXiv:1907.07839]; 08/2019<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz], Etale cohomology of rank one l-adic local systems in positive characteristic, [https://arxiv.org/abs/1908.08291 arxiv:1908.08291]; 08/2019<br />
<br />
* H.K.Nguyen, Covariant & Contravariant Homotopy Theories, [https://arxiv.org/abs/1908.06879 arxiv:1908.06879]; 08/2019<br />
<br />
* Y. Kezuka, On the main conjecture of Iwasawa theory for certain non-cyclotomic ℤp-extensions. [https://arxiv.org/abs/1711.07554 arXiv:1711.07554 math.NT]; J. Lond. Math. Soc., Vol. 100, pp. 107-136, 8/2019<br />
<br />
* Y. Kezuka, J. Choi, Y. Li, Analogues of Iwasawa's μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic ℤ2-extension. [https://arxiv.org/abs/1711.01697 arXiv:1711.01697 math.NT]; Asian J. Math., Vol. 23, No. 3, pp. 383-400, 7/2019<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], Mark Powell, Homotopy ribbon concordance and Alexander polynomials. [http://arxiv.org/abs/1907.09031 arXiv:1907.09031]; 07/2019<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], K. Yamada. Rigid analytic reconstruction of Hyodo--Kato theory. [https://arxiv.org/abs/1907.10964 arXiv:1907.10964 math.NT]; 07/2019.<br />
<br />
* [https://drew-heard.github.io/ D. Heard]. Depth and detection for Noetherian unstable algebras. [https://arxiv.org/abs/1907.06373 arxiv:1907.06373]; 07/2019<br />
<br />
*[https://sites.google.com/view/lukas-prader/ L. Prader], A local–global principle for surjective polynomial maps, [https://arxiv.org/abs/1909.11690 arXiv:1909.11690]; Journal of Pure and Applied Algebra 223(6), 06/2019, pp. 2371-2381 <br />
<br />
* [https://homepages.uni-regensburg.de/~glj57400/ J. Glöckle], Homotopy of the space of initial values satisfying the dominant energy condition strictly, [https://arxiv.org/abs/1906.00099 arXiv:1906.00099]; 05/2019<br />
<br />
* [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], C. Ravi. Rigidity in equivariant algebraic $K$-theory. [https://arxiv.org/abs/1905.03102 arXiv:1905.03102]; 05/2019<br />
<br />
* P. Feller, [http://lewark.de/lukas/ L. Lewark]. Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space. [http://arxiv.org/abs/1905.08305 arXiv:1905.08305]; 05/2019<br />
<br />
* [https://graptismath.net G. Raptis], W. Steimle, Topological manifold bundles and the A-theory assembly map. [https://arxiv.org/abs/1905.01868 arXiv:1905.01868]; 05/2019<br />
<br />
* P. Antonini, A. Buss, A. Engel, T. Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras, [https://arxiv.org/abs/1905.07730 arXiv:1905.07730 math.KT]; 05/2019<br />
<br />
* J. Schmidt, [https://www.florianstrunk.de F. Strunk]. A Bloch--Ogus Theorem for henselian local rings in mixed characteristic. [https://arxiv.org/abs/1904.02937 arXiv:1904.02937]; 04/2019<br />
<br />
* T. Barthel, [https://drew-heard.github.io/ D. Heard], N. Castellana, G. Valenzuela. On stratification for spaces with Noetherian mod p cohomology. [https://arxiv.org/abs/1904.12841 arxiv:1904.12841]; 04/2019<br />
<br />
* B. Karlhofer, [https://homepages.abdn.ac.uk/kedra/pages/ J. Kędra], M. Marcinkowski, A. Trost. Qualitative counting closed geodesics,[https://arxiv.org/abs/1904.11237 arXiv:1904.11237 math.DG]; 04/2019<br />
<br />
* N. Heuer, C. L&ouml;h. The spectrum of simplicial volume. [https://arxiv.org/abs/1904.04539 arXiv:1904.04539 math.GT]; 04/2019<br />
<br />
* K. Bohlen, J. M. Lescure. A geometric approach to K-homology for Lie manifolds, [https://arxiv.org/abs/1904.04069 arXiv:1904.04069]; 04/2019<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [https://www.s.u-tokyo.ac.jp/en/people/shiho_atsushi/ A. Shiho]. On infiniteness of integral overconvergent de Rham-Witt cohomology modulo torsion. [https://arxiv.org/abs/1812.03720 arXiv:1812.03720 math.NT]; 04/2019; to appear in the Tohoku Mathematical Journal.<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl]. A new proof of a vanishing result due to Berthelot, Esnault, and Rülling. [https://arxiv.org/abs/1805.06269 arXiv:1805.06269 math.NT]; 04/2019 to appear in the Journal of Number Theory.<br />
<br />
* C. L&ouml;h. Residually finite categories. [https://arxiv.org/abs/1903.11488 arXiv:1903.11488 math.CT]; 03/2019<br />
<br />
* A. Engel, C. L&ouml;h. Polynomially weighted l^p-completions and group homology. [https://arxiv.org/abs/1903.11486 arXiv:1903.11486 math.GR]; 03/2019<br />
<br />
* B. Ammann; K. Kröncke, O. Müller. Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors. Commun. Math. Phys. 387, 77-109 (2021), doi: 10.1007/s00220-021-04172-1, [https://arxiv.org/abs/1903.02064 arXiv:1903.02064 math.DG]; 03/2019<br />
<br />
* [https://www.math.bgu.ac.il/~brandens/ M. Brandenbursky], M. Marcinkowski. Bounded cohomology of transformation groups. [https://arxiv.org/abs/1902.11067 arXiv:1902.11067 math.GT]; 02/2019.<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz], Arithmetic subspaces of moduli spaces of rank one local systems. [https://arxiv.org/abs/1902.02961 arXiv:1902.02961]; 2/2019.<br />
<br />
* F. Déglise, J. Fasel, F. Jin, [https://www.preschema.com A.A. Khan]. Borel isomorphism and absolute purity. [https://arxiv.org/abs/1902.02055 arXiv:1902.02055]; 02/2019<br />
<br />
* [https://graptismath.net G. Raptis], On transfer maps in the algebraic K-theory of spaces. [https://arxiv.org/abs/1901.05539 arXiv:1901.05539]; 01/2019<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [http://perso.ens-lyon.fr/wieslawa.niziol/ W. Nizioł]. Syntomic cohomology and p-adic motivic cohomology. [http://content.algebraicgeometry.nl/2019-1/2019-1-006.pdf Algebraic Geometry, vol. 6, no. 1, pp. 100-131]; 01/2019.<br />
<br />
=== 2018 ===<br />
<br />
* E. Elmanto, [https://www.preschema.com A.A. Khan]. Perfection in motivic homotopy theory. [https://arxiv.org/abs/1812.07506 arXiv:1812.07506]; 12/2018<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], [https://www.florianstrunk.de/ F. Strunk], G. Tamme, Towards Vorst's conjecture in positive characteristic. [https://arxiv.org/abs/1812.05342 arXiv:1812.05342]; 12/2018.<br />
<br />
* F. Binda,S. Saito, Semi-purity for cycles with modulus [https://arxiv.org/abs/1812.01878 arXiv:1812.01878]; 12/2018.<br />
<br />
* B. Ammann; N. Große; V Nistor, Analysis and boundary value problems on singular domains: an approach via bounded geometry. [https://arxiv.org/abs/1812.09898 arXiv:1812.09898 math.AP]; 12/2018<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [https://homepages.uni-regensburg.de/~spj54141/ J. Sprang]. Integral Comparison of Monsky-Washnitzer and overconvergent de Rham-Witt cohomology. [https://www.ams.org/journals/bproc/2018-05-07/S2330-1511-2018-00038-0/S2330-1511-2018-00038-0.pdf Proceedings of the AMS, Series B, vol. 5, pp. 64-72]; 11/2018.<br />
<br />
* [https://graptismath.net/ G. Raptis], Devissage for Waldhausen K-theory. [https://arxiv.org/abs/1811.09564 arXiv:1811.09564]; 11/2018<br />
<br />
* [https://www.preschema.com A.A. Khan]. Descent by quasi-smooth blow-ups in algebraic K-theory. [https://arxiv.org/abs/1810.12858 arXiv:1810.12858]; 10/2018<br />
<br />
* B. Ammann; N. Große; V Nistor, The strong Legendre condition and the well-posedness of mixed Robin problems on manifolds with bounded geometry. [https://arxiv.org/abs/1810.06926 arXiv:1810.06926 math.AP]; 10/2018<br />
<br />
* [http://federicobambozzi.eu F. Bambozzi], [https://www.math.univ-paris13.fr/~vezzani/ A. Vezzani], Rigidity for rigid analytic motives. [https://arxiv.org/abs/1810.04968 arXiv:1810.04968];10/2018<br />
<br />
* [https://drew-heard.github.io/ D. Heard], G. Li, D. Shi, Picard groups and duality for real Morava E-theories. [https://arxiv.org/abs/1810.05439 arxiv:1810.05439]; 10/2018<br />
<br />
* B. Ammann; N. Ginoux; Some examples of Dirac-harmonic maps [https://arxiv.org/abs/1809.09859 arXiv:1809.09859 math.AP]; 09/2018<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Injectivity results for coarse homology theories. [https://arxiv.org/abs/1809.11079 arXiv:1809.11079 math.KT]; 09/2018<br />
<br />
* E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, M. Yakerson. Framed transfers and motivic fundamental classes. [https://arxiv.org/abs/1809.10666 arXiv:1809.10666]; 09/2018<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Transfers in coarse homology. [https://arxiv.org/abs/1809.08300 arXiv:1809.08300 math.KT]; 09/2018<br />
<br />
* C. L&ouml;h. Cost vs. integral foliated simplicial volume. [https://arxiv.org/abs/1809.09660 arXiv:1809.09660 math.GT]; 09/2018<br />
<br />
* [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang]. A linear independence result for p-adic L-values. [https://arxiv.org/abs/1809.07714 arXiv:1809.07714 math.NT]; 09/2018<br />
<br />
* C. L&ouml;h. Simplicial volume with Fp-coefficients. [https://arxiv.org/abs/1808.09497 arXiv:1808.09497 math.GT]; 08/2018<br />
<br />
* [http://markus-land.de M. Land], G. Tamme. On the K-theory of pullbacks. [http://arxiv.org/abs/1808.05559 arXiv:1808.05559 math.KT]; 08/2018<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz]. On negative algebraic K-groups. [https://eta.impa.br/dl/137.pdf ICM 2018]; 08/2018<br />
<br />
* D. Fauser, [https://friedl.app.uni-regensburg.de/ S. Friedl], C. L&ouml;h. Integral approximation of simplicial volume of graph manifolds. [https://arxiv.org/abs/1807.10522 arXiv:1807.10522 math.GT]; 07/2018<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], JungHwan Park, Bram Petri, Jean Raimbault and Arunima Ray, On distinct finite covers of 3-manifolds. [http://arxiv.org/abs/1807.09861 arXiv:1807.09861]; 07/2018<br />
<br />
*[https://yangenlin.wordpress.com/ E. Yang], Y. Zhao. On the relative twist formula of l-adic sheaves. [https://arxiv.org/abs/1807.06930 arXiv:1807.06930 math.AG]; 07/2018<br />
<br />
* F. Ben Aribi, [https://friedl.app.uni-regensburg.de/ S. Friedl], [http://www.gerhit.de/ G. Herrmann], The leading coefficient of the L^2-Alexander torsion. [http://arxiv.org/abs/1806.10965 arXiv:1806.10965]; 06/2018<br />
<br />
* F. Déglise, F. Jin, [https://www.preschema.com A.A. Khan]. Fundamental classes in motivic homotopy theory. [https://arxiv.org/abs/1805.05920 arXiv:1805.05920]; 05/2018<br />
<br />
* [https://graptismath.net/ G. Raptis], W. Steimle, On the h-cobordism category. I. [https://arxiv.org/abs/1805.04395 arXiv:1805.04395]; 05/2018<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], K. Yamada. Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary. [https://arxiv.org/abs/1805.04974 arXiv:1805.04974 math.NT]; 05/2018.<br />
<br />
*G. Herrmann, Sutured manifolds and L^2-Betti numbers. [https://arxiv.org/abs/1804.09519 arxiv:1804.09519]; 04/2018<br />
<br />
*H.K. Nguyen, [http://graptismath.net/ G. Raptis], C. Schrade, Adjoint functor theorems for infinity categories. [https://arxiv.org/abs/1803.01664 arxiv:1803.01664]; 03/2018<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz], Y. Zhao, Higher ideles and class field theory. [https://arxiv.org/abs/1804.00603 arXiv:1804.00603]; 03/2018<br />
<br />
*[https://www.math.u-psud.fr/~fischler/ S. Fischler], [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], [http://wain.mi.ras.ru/ W. Zudilin], Many odd zeta values are irrational. [https://arxiv.org/abs/1803.08905 arXiv:1803.08905]; 03/2018<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Scarponi, The Maillot-Rössler current and the polylogarithm on abelian schemes. [https://arxiv.org/abs/1803.00833 arXiv:1803.00833]; 03/2018<br />
<br />
* M. Marcinkowski, Aut-invariant word norm on right angled Artin and Coxeter groups. [https://arxiv.org/abs/1803.00294 arXiv:1803.00294]; 03/2018<br />
<br />
* F. Binda, A. Krishna, Rigidity for relative 0-cycles [https://arxiv.org/abs/1802.00165 arXiv:1802.00165]; 2/2018.<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], Infinitely many odd zeta values are irrational. By elementary means. [https://arxiv.org/abs/1802.09410 arXiv:1802.09410]; 02/2018<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], S. Saito, G. Tamme, K-theory of non-archimedean rings I. [http://arxiv.org/abs/1802.09819 arXiv1802.09819 math.KT]; 02/2018<br />
<br />
* [https://www.preschema.com A.A. Khan], D. Rydh. Virtual Cartier divisors and blow-ups. [https://arxiv.org/abs/1802.05702 arXiv:1802.05702]; 2/2018<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], The syntomic realization of the elliptic polylogarithm via the Poincaré bundle. [https://arxiv.org/abs/1802.04999 arXiv:1802.04999]; 02/2018<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle. [https://arxiv.org/abs/1802.04996 arXiv:1802.04996]; 02/2018<br />
<br />
* [http://federicobambozzi.eu F. Bambozzi], S. Murro, [http://www.pinamonti.it/ N. Pinamonti] Invariant states on Weyl algebras for the action of the symplectic group. [https://arxiv.org/abs/1802.02487 arXiv:1802.02487];02/2018<br />
<br />
* Y. Kezuka, On the p-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of ℚ(√-3). [https://arxiv.org/abs/1605.08245 arXiv:1605.08245 math.NT]; Math. Proc. Camb. Philos. Soc., 164, pp. 67-98, 1/2018 <br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], Real-analytic Eisenstein series via the Poincaré bundle. [https://arxiv.org/abs/1801.05677 arXiv:1801.05677]; 01/2018<br />
<br />
* V. Wanner, Comparison of two notions of subharmonicity on non-archimedean curves. [https://arxiv.org/abs/1801.04713 arXiv: 1801.04713]; 01/2018<br />
<br />
=== 2017 ===<br />
<br />
*[https://gubler.app.uni-regensburg.de/ Gubler, Walter]; Jell, Philipp; [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html Künnemann, Klaus]; Martin, Florent, Continuity of Plurisubharmonic Envelopes in Non-Archimedean Geometry and Test Ideals (with an Appendix by José Ignacio Burgos Gil and Martín Sombra). Annales de l’Institut Fourier 69 (2019), no.5, 2331-2376 [https://aif.centre-mersenne.org/item/AIF_2019__69_5_2331_0/ doi : 10.5802/aif.3296] [https://arxiv.org/abs/1712.00980 arXiv:1712.00980 math.AG]; 12/2017.<br />
<br />
* G. Cortiñas, J. Cuntz, R. Meyer, and G. Tamme, Weak completions, bornologies and rigid cohomology. [http://arxiv.org/abs/1712.08004 arXiv:1712.08004 math.AG]; 12/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Coarse homology theories and finite decomposition complexity. [https://arxiv.org/abs/1712.06932 arXiv:1712.06932 math.KT];12/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, Coarse cohomology theories. [https://arxiv.org/abs/1711.08599 arXiv:1711.08599 math.AT]; 11/2017<br />
<br />
* A. Engel, [http://www.uni-math.gwdg.de/cwulff/ Ch. Wulff] Coronas for properly combable spaces. [https://arxiv.org/abs/1711.06836 arXiv:1711.06836 math.MG]; 11/2017<br />
<br />
* [http://markus-land.de/ M. Land], Reducibility of low dimensional Poincaré duality spaces. [https://arxiv.org/pdf/1711.08179.pdf arXiv:1711.08179]; 11/2017<br />
<br />
* T. Barthel, T. Schlank, N. Stapleton, Chromatic homotopy theory is asymptotically algebraic. [https://arxiv.org/abs/1711.00844 arXiv:1711.00844]; 11/2017<br />
<br />
* P. Jell, [https://www.math.uni-tuebingen.de/user/jora/ J. Rau], K. Shaw Lefschetz (1,1)-theorem in tropical geometry. Epijournal de Géometrie Algébrique, volume 2, article no. 11 (2018)[https://arxiv.org/abs/1711.07900 arXiv:1711.07900];11/2017<br />
<br />
* E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, M. Yakerson. Motivic infinite loop spaces.[https://arxiv.org/abs/1711.05248 arXiv:1711.05248]; 11/2017<br />
<br />
* [http://federicobambozzi.eu F. Bambozzi], O.Ben-Bassat, [https://www.maths.ox.ac.uk/people/yakov.kremnitzer K. Kremnizer] Analytic geometry over F_1 and the Fargues-Fontaine curve. [https://arxiv.org/abs/1711.04885 arXiv:1711.04885];11/2017<br />
<br />
* R. Zentner, [http://wwwf.imperial.ac.uk/~ssivek/ S. Sivek], SU(2)-cyclic surgeries and the pillowcase. [http://arxiv.org/abs/1710.01957 arXiv:1710.01957 math.gt];10/2017<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], [http://www.gerhit.de/ G. Herrmann], Torsion in the homology of finite covers of 3-manifolds. [http://arxiv.org/abs/1710.08983 arXiv:1710.0898 [math.gt];10/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Equivariant coarse homotopy theory and coarse algebraic K-homology. [https://arxiv.org/abs/1710.04935 arXiv:1710.04935 math.KT];10/2017<br />
<br />
* K. Bohlen, René Schulz. Quantization on manifolds with an embedded submanifold, [https://arxiv.org/abs/1710.02294 arXiv:1710.02294 math.DG]; 10/2017<br />
<br />
* F. Binda and A. Krishna, Zero cycles with modulus and zero cycles on singular varieties, to appear in Compositio Math, [https://arxiv.org/abs/1512.04847 arXiv:1512.04847v4 [math.AG]]. <br />
<br />
* M. Boileau, [https://friedl.app.uni-regensburg.de/ S. Friedl], Grothendieck rigidity of 3-manifold groups. [http://arxiv.org/abs/1710.02746 arXiv:1710.02746 math.gt];10/2017<br />
<br />
* T. Barthel, M. Hausmann, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], T. Nikolaus, [http://www.nullplug.org/ J. Noel], N. Stapleton, The Balmer spectrum of the equivariant homotopy category of a finite abelian group, [https://arxiv.org/abs/1709.04828 arXiv:1709.04828 math.at]; 10/2017 <br />
<br />
* M. Boileau, [https://friedl.app.uni-regensburg.de/ S. Friedl], The virtual Thurston seminorm of 3-manifolds. [http://arxiv.org/abs/1709.06485 arXiv:1709.06485 math.gt];09/2017<br />
<br />
* A. Conway, [https://friedl.app.uni-regensburg.de/ S. Friedl], [http://www.gerhit.de/ G. Herrmann], Linking forms revisited. [http://arxiv.org/abs/1708.03754 arXiv:1708.03754 math.gt];08/2017<br />
<br />
* G. Cortiñas, J. Cuntz, R. Meyer, and G. Tamme, Nonarchimedean bornologies, cyclic homology and rigid cohomology. [http://arxiv.org/abs/1708.00357 arXiv:1708.00357 math.AG]; 08/2017<br />
<br />
* M. Marcinkowski, [https://www.math.bgu.ac.il/~brandens/ M. Brandenbursky], Topological entropy and quasimorphisms. [https://arxiv.org/abs/1707.06020 arXiv:1707.06020 math.GT]; 07/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, The coarse index class with support. [https://arxiv.org/abs/1706.06959 arXiv:1706.06959 math.DG]; 06/2017<br />
<br />
* P. Jell, Tropical Hodge numbers of non-archimedean curves. Israel Journal of Mathematics 229 (2019), 1-19, no.1, 287-305, [https://link.springer.com/article/10.1007/s11856-018-1799-5 doi: 10.1007/s11856-018-1799-5][https://arxiv.org/abs/1706.05895 arXiv:1706.05895 math.AG]; 06/2017<br />
<br />
* T. Barthel, N. Stapleton, Excellent rings in transchromatic homotopy theory. [https://arxiv.org/abs/1706.00208 arXiv:1706.00208 math.AT]; 06/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, Coarse assembly maps. [https://arxiv.org/abs/1706.02164 arXiv:1706.02164 math.KT]; 06/2017<br />
<br />
* F. Hebestreit, [http://www.markus-land.de M. Land], W. Lück, O. Randal-Williams. A Vanishing theorem for tautological classes of aspherical manifolds. [https://arxiv.org/pdf/1705.06232.pdf arXiv:1705.06232 math.AT]; 05/2017<br />
<br />
* D.-C. Cisinski, [https://www.preschema.com A.A. Khan]. Brave new motivic homotopy theory II: Homotopy invariant K-theory. [https://arxiv.org/abs/1705.03340 arXiv:1705.03340]; 05/2017<br />
<br />
* [http://graptismath.net/ G. Raptis], [https://www.florianstrunk.de/ F. Strunk]. Model topoi and motivic homotopy theory. [https://arxiv.org/abs/1704.08467 arXiv:1704.08467 math.AT]; 04/2017<br />
<br />
* D. Fauser. Integral foliated simplicial volume and S^1-actions. [http://arxiv.org/abs/1704.08538 arXiv:1704.08538 math.GT]; 04/2017<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], S. Vidussi, On virtual properties of Kaehler groups. [http://arxiv.org/abs/1704.07041 arXiv:1704.07041 math.gt];04/2017<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Gill, S. Tillmann, Linear representations of 3-manifold groups over rings. [http://arxiv.org/abs/1703.06609 arXiv:1703.06609 math.gt];04/2017<br />
<br />
* C. Löh. Explicit l1-efficient cycles and amenable normal subgroups. [http://arxiv.org/abs/arXiv:1704.05345 arXiv:1704.05345 math.GT]; 04/2017<br />
<br />
* C. Löh. Rank gradient vs. stable integral simplicial volume. [http://arxiv.org/abs/arXiv:1704.05222 arXiv:1704.05222 math.GT]; 04/2017<br />
<br />
*S.P. Reeh, T.M. Schlank, N. Stapleton, A formula for p-completion by way of the Segal conjecture. [https://arxiv.org/abs/arxiv:1704.00271 arxiv:1704.00271 math.AT]; 04/2017 <br />
<br />
* F. Binda, Torsion zero cycles with modulus on affine varieties.[https://arxiv.org/abs/1604.06294 arXiv:1604.06294 math.AG], to appear in J. of Pure and App. Algebra. <br />
<br />
* F. Binda, J. Cao, W. Kai and R. Sugiyama, Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus, J. of Algebra, [http://dx.doi.org/10.1016/j.jalgebra.2016.07.036 Vol. 469], 1, 2017. <br />
<br />
*H.K. Nguyen, On the infinite loop space structure of the cobordism category, [https://doi.org/10.2140/agt.2017.17.1021 Algebr. Geom. Topol. Vol. 17 issue 2], 3/2017<br />
<br />
*G. Tamme, Excision in algebraic K-theory revisited. [http://arxiv.org/abs/arXiv:1703.03331 arXiv:1703.03331 math.KT]; 03/2017<br />
<br />
* D. Fauser, C. Löh. Variations on the theme of the uniform boundary condition. [http://arxiv.org/abs/arXiv:1703.01108 arXiv:1703.01108 math.GT]; 03/2017<br />
<br />
* A. Engel, Banach strong Novikov conjecture for polynomially contractible groups. [https://arxiv.org/abs/1702.02269 arXiv:1702.02269 math.KT]; 02/2017<br />
<br />
*[https://www.math.bgu.ac.il/~brandens M.Brandenbursky], M.Marcinkowski. Aut-invariant norms and Aut-invariant quasimorphisms on free and surface groups. [https://arxiv.org/abs/1702.01662 arXiv:1702.01662 math.GT]; 02/2017<br />
<br />
*N. Umezaki, [https://yangenlin.wordpress.com/ E. Yang], Y. Zhao. Characteristic class and the &epsilon;-factor of an étale sheaf. [https://arxiv.org/abs/1701.02841 arXiv:1701.02841 math.AG]; 01/2017<br />
<br />
=== 2016 ===<br />
<br />
*M. Lüders, On a base change conjecture for higher zero-cycles. [https://arxiv.org/abs/1612.04635 arXiv:1612.04635 math.AG]; 12/2016<br />
<br />
* P. Jell, V. Wanner. Poincaré duality for the real-valued de Rham cohomology of non-archimedean Mumford curves. Journal of Number Theory 187 (2018), 344-371 [https://doi.org/10.1016/j.jnt.2017.11.004 doi:10.1016/j.jnt.2017.11.004] [https://arxiv.org/abs/1612.01889 arXiv:1612.01889 math.AG]; 12/2016<br />
<br />
* U. Jannsen, [http://www.lcv.ne.jp/~smaki/en/index.html S. Saito], Y. Zhao. Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields. [https://arxiv.org/abs/1611.08720 arXiv:1611.08720 math.AG]; 11/2016<br />
<br />
* Y. Zhao. Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes. [https://arxiv.org/abs/1611.08722 arXiv:1611.08722 math.AG]; 11/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; M. Nagel, P. Orson, M. Powell, Satellites and concordance of knots in 3-manifold [http://arxiv.org/abs/1611.09114 arXiv:1611.09114 math.GT]; 11/2016<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], [https://www.florianstrunk.de/ F. Strunk], G. Tamme. Algebraic K-theory and descent for blow-ups. [http://arxiv.org/abs/1611.08466 arXiv:1611.08466 math.KT]; 11/2016<br />
<br />
* N. Otoba; J. Petean, Solutions of the Yamabe equation on harmonic Riemannian submersions, [https://arxiv.org/abs/1611.06709 arXiv:1611.06709 math.DG]; 11/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; W. Lueck, S. Tillmann, Groups and polytopes [http://arxiv.org/abs/1611.01857 arXiv:1611.01857 math.GT]; 11/2016<br />
<br />
* B. Ammann; N. Große; V Nistor, Well-posedness of the Laplacian on manifolds with boundary and bounded geometry [http://arxiv.org/abs/1611.00281 arXiv:1611.00281 math.AP]; 11/2016<br />
<br />
* A. Engel, M. Marcinkowski, Burghelea conjecture and asymptotic dimension of groups, [https://arxiv.org/abs/1610.10076 arXiv:1610.10076 math.GT]; 11/2016.<br />
<br />
* S. Baader, P. Feller, L. Lewark, R. Zentner, Khovanov width and dealternation number of positive braid links, [http://arxiv.org/abs/1610.04534 arXiv:1605.04534 math.GT]; 10/2016<br />
<br />
* M. Heusener, R. Zentner, A new algorithm for 3-sphere recognition, [http://arxiv.org/abs/1610.04092 arXiv:1605.04092 math.GT]; 10/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; M. Heusener. On high-dimensional representations of knot groups [http://arxiv.org/abs/1610.04414 arXiv:1610.04414 math.GT]; 10/2016<br />
<br />
* O. Müller, Applying the index theorem to non-smooth operators, [https://arxiv.org/abs/1506.04636 arXiv:1506.04636 math.AP]; 10/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; W. Lueck. L2-Euler characteristics and the Thurston norm [http://arxiv.org/abs/1609.07805 arXiv:1609.07805 math.GT]; 09/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; W. Lueck. Universal L2-torsion, polytopes and applications to 3-manifolds. [http://arxiv.org/abs/1609.07809 arXiv:1609.07809 math.GT]; 09/2016<br />
<br />
* A. Conway; [https://friedl.app.uni-regensburg.de/ S. Friedl]; E. Toffoli, The Blanchfield pairing of colored links. [http://arxiv.org/abs/1609.08057 arXiv:1609.08057 math.GT]; 09/2016<br />
<br />
*[https://www.icmat.es/miembros/burgos/index.html Burgos Gil, José Ignacio]; [https://gubler.app.uni-regensburg.de/ Gubler, Walter]; Jell, Philipp; [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html Künnemann, Klaus]; Martin, Florent, Differentiability of non-archimedean volumes and non-archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld). Algebraic Geometry 7 (2) (2020) 113-152 [http://content.algebraicgeometry.nl/2020-2/2020-2-005.pdf doi:10.14231/AG-2020-005] [https://arxiv.org/abs/1608.01919 arXiv:1608.01919 math.AG]; 08/2016.<br />
<br />
* [https://gubler.app.uni-regensburg.de/ Gubler, Walter]; Martin, Florent, On Zhang's semipositive metrics. [https://arxiv.org/abs/1608.08030 arXiv:1608.08030]; 08/2016<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], S. Saito, G. Tamme. Towards a non-archimedean analytic analog of the Bass-Quillen conjecture. [https://arxiv.org/abs/1608.00703 arXiv:1608.00703 math.AG]; 08/2016<br />
<br />
* O. Müller, A proof of Thorne's Hoop Conjecture for Einstein-Maxwell Theory, [https://arxiv.org/abs/1607.05036 arXiv:1607.05036 math.DG]; 08/2016<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl]. Full faithfulness for overconvergent F-de Rham-Witt connections. [https://arxiv.org/abs/1411.7182 arXiv:1411.7182 math.NT]; Comptes rendus - Mathématique vol. 354, no. 7, pp. 653-658, 07/2016.<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel. Homotopy theory with bornological coarse spaces. [https://arxiv.org/abs/1607.03657 arXiv:1607.03657 math.AT]; 07/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]. Novikov homology and noncommutative Alexander polynomials. [http://arxiv.org/pdf/arXiv:1606.03587.pdf arXiv:1606.03587 math.GT]; 06/2016<br />
<br />
* A. Mathew, [http://dtclausen.tumblr.com/ Dustin Clausen], [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] Descent in algebraic K-theory and a conjecture of Ausoni-Rognes. [https://arxiv.org/abs/1606.03328 arxiv:1606.03328 math.AT]. <br />
<br />
* R. Zentner, Integer homology 3-spheres admit irreducible representations in SL(2,C), [http://arxiv.org/abs/1605.08530 arXiv:1605.08530 math.GT]; 05/2016<br />
<br />
* D. Fauser, C. Löh, Exotic finite functorial semi-norms on singular homology. [http://arxiv.org/abs/arXiv:1605.04093 arXiv:1605.04093 math.GT]; 05/2016<br />
<br />
* [https://math.uoregon.edu/profile/botvinn B. Botvinnik], O. Müller, Cheeger-Gromov convergence in a conformal setting, [https://arxiv.org/abs/1512.07651 arXiv:1512.07651 math.DG]; 04/2016<br />
<br />
* [http://www.gerrit-herrmann.de/#top G. Herrmann], The $L^2$-Alexander torsion for Seifert fiber spaces. [http://arxiv.org/pdf/arXiv:1602.08768.pdf arXiv:1602.08768 math.GT]; 02/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], S. Vidussi. Rank gradients of infinite cyclic covers of Kaehler manifolds. [http://arxiv.org/pdf/arXiv:1604.08267.pdf arXiv:1604.08267 math.GT]; 04/2016<br />
<br />
* J. Lind, C. Malkiewich. The transfer map of free loop spaces [http://arxiv.org/abs/1604.03067 arXiv:1604.03067 math.AT]; 04/2016<br />
<br />
* P. Graf. Polylogarithms for $GL_2$ over totally real fields. [http://arxiv.org/pdf/1604.04209.pdf arXiv:1604.04209 math.NT]; 04/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, M. Nagel. Representation varieties detect essential surfaces. [http://arxiv.org/pdf/arXiv:1604.00584.pdf arXiv:1604.00584 math.GT]; 04/2016<br />
<br />
* D. Scarponi, Sparsity of p-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer. [https://arxiv.org/abs/1602.08755v3 arXiv:1602.08755v3]; 02/2016<br />
<br />
* O. Gwilliam, [https://dmitripavlov.org/ D. Pavlov]. Enhancing the filtered derived category. [https://arxiv.org/abs/1602.01515 arXiv:1602.01515], accepted by J. Pure Appl. Algebra; 02/2016<br />
<br />
* [https://www.mathi.uni-heidelberg.de/people/personeninfo.html?uid=jschmidt J. Schmidt], [https://www.florianstrunk.de/ F. Strunk]. On the shifted stable A1-connectivity property. [http://arxiv.org/abs/1602.08356 arXiv:1602.08356 math.AG]; 02/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl],M. Boileau. Epimorphisms of 3-manifold groups. [http://arxiv.org/pdf/arXiv:1602.06779.pdf arXiv:1602.06779 math.GT]; 02/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl],[http://math.wisc.edu/~maxim L. Maxim]. Twisted Novikov homology of complex hypersurface complements. [http://arxiv.org/pdf/arXiv:1602.04943.pdf arXiv:1602.04943 math.AT]; 02/2016<br />
<br />
* [http://federicobambozzi.eu F. Bambozzi]. Theorems A and B for dagger quasi-Stein spaces. [http://arxiv.org/pdf/1602.04388.pdf arXiv:1602.04388 math.AG]; 02/2016<br />
<br />
* T. Fiore and M. Pieper. Waldhausen Additivity: Classical and Quasicategorical. [http://arxiv.org/abs/1207.6613 arXiv:1207.6613v2 math.AT]; 02/2016<br />
<br />
* A. Engel. Wrong way maps in uniformly finite homology and homology of groups. [http://arxiv.org/abs/1602.03374 arXiv:1602.03374 math.GT]; 02/2016<br />
<br />
* M. Pilca. Toric Vaisman Manifolds. [https://arxiv.org/abs/1512.00876 arXiv:1512.00876 math.DG]; 01/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], C. Leidy, M. Nagel, M. Powell. Twisted Blanchfield pairings and decompositions of 3-manifolds. [http://arxiv.org/pdf/arXiv:arXiv:1602.00140.pdf arXiv:1602.00140 math.GT]; 01/2016<br />
<br />
* O. Raventós. Transfinite Adams representability. [http://arxiv.org/abs/1304.3599 arXiv:1304.3599]; new version 02/2016<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], [https://www.florianstrunk.de/ F. Strunk]. On the vanishing of negative homotopy K-theory [http://arxiv.org/abs/1601.08075 arXiv:1601.08075 math.AG]; 01/2016<br />
<br />
* J. Lind, H. Sati, [http://math.umn.edu/~cwesterl/ C. Westerland]. A higher categorical analogue of topological T-duality for sphere bundles [http://arxiv.org/abs/1601.06285 arXiv:1601.06285 math.AT]; 01/2016<br />
<br />
* F. Madani, [http://moroianu.perso.math.cnrs.fr/ A. Moroianu], M. Pilca. Conformally related Kähler metrics and the holonomy of lcK manifolds [https://arxiv.org/abs/1511.09212 arXiv: 1511.09212 math.DG]; 01/2016<br />
<br />
=== 2015 ===<br />
<br />
* D. Scarponi, The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne-Beilinson cohomology. [https://arxiv.org/abs/1512.01997 arXiv:1512.01997]; 12/2015<br />
<br />
* [http://www.math.ens.fr/~amini/ O. Amini], [http://www.math.uchicago.edu/~bloch/ S. Bloch], [http://www.icmat.es/miembros/burgos/ J. I. Burgos Gil], J. Fresán. Feynman Amplitudes and Limits of Heights [http://arxiv.org/pdf/1512.04862.pdf arXiv:1512.04862 math.AG]; 12/2015<br />
<br />
* P. Jell, K. Shaw, J. Smacka. Superforms, Tropical Cohomology and Poincaré Duality [https://doi.org/10.1515/advgeom-2018-0006 doi:10.1515/advgeom-2018-0006] [http://arxiv.org/pdf/1512.07409v1.pdf arXiv:1512.07409 math.AG]; 12/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], C. Livingston, R. Zentner. Knot concordances and alternating knots. [http://arxiv.org/pdf/arXiv:1512.08414.pdf arXiv:1512.08414 math.GT]; 12/2015<br />
<br />
* B. Ammann; Klaus Kröncke, Hartmut Weiß, Frederik Witt. Holonomy rigidity for Ricci-flat metrics, [http://arxiv.org/abs/1512.07390 arXiv:1512.07390 math.DG]; 12/2015<br />
<br />
* [http://gt.postech.ac.kr/~jccha/ J. C. Cha], [https://friedl.app.uni-regensburg.de/ S. Friedl], F. Funke. The Grothendieck group of polytopes and norms. [http://arxiv.org/pdf/arXiv:1512.06699.pdf arXiv:1512.06699 math.GT]; 12/2015<br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], J. Hertel. Local heights of toric varieties over non-archimedean fields [https://arxiv.org/pdf/1512.06574.pdf arXiv1512.06574 math.NT]; 12/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Powell. The presentation of the Blanchfield pairing of a knot via a Seifert matrix. [http://arxiv.org/pdf/arXiv:1512.04603.pdf arXiv:1512.04603 math.GT]; 12/2015<br />
<br />
*F. Bambozzi, O. Ben-Bassat, K. Kremnizer . Stein Domains in Banach Algebraic Geometry. [http://arxiv.org/pdf/1511.09045.pdf arxiv:1511.09045 math.AG]; 11/2015<br />
<br />
*Y. Wu. On the p-adic local invariant cycle theorem. [http://arxiv.org/pdf/1511.08323.pdf arxiv:1511.08323 math.AG]; 11/2015<br />
<br />
*J. Scholbach, [https://dmitripavlov.org/ D. Pavlov]. Homotopy theory of symmetric powers. [https://arxiv.org/abs/1510.04969 arXiv:1510.04969]; 10/2015<br />
<br />
* F. Martin; Analytic functions on tubes of non-Archimedean analytic spaces, with an appendix by Christian Kappen [http://arxiv.org/abs/1510.01178 arXiv:1510.01178]; 10/2015<br />
<br />
*[https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings]. On p-adic interpolation of motivic Eisenstein classes. [http://arxiv.org/pdf/1510.01466.pdf arxiv:1505.01466 math.NT]; 10/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. The L^2-torsion function and the Thurston norm of 3-manifolds. [http://arxiv.org/pdf/1510.00264.pdf arXiv:1510.00264 math.GT]; 10/2015<br />
<br />
* O. Müller, N. Nowaczyk, A universal spinor bundle and the Einstein-Dirac-Maxwell equation as a variational theory, [https://arxiv.org/abs/1504.01034 arXiv:1504.01034 math.DG]; 10/2015<br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], [http://www.uni-regensburg.de/mathematics/mathematics-kuennemann/ K. Künnemann]. Positivity properties of metrics and delta-forms. [http://arxiv.org/abs/1509.09079 arXiv:150909079 math.AG]; 09/2015<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], T. Nikolaus, G. Tamme. The Beilinson regulator is a map of ring spectra [http://arxiv.org/abs/1509.05667 arXiv:1509.05667 math.AG]; 09/2015<br />
<br />
* C. Löh. Odd manifolds of small integral simplicial volume [http://arxiv.org/abs/1509.00204 arXiv:1509.00204 math.GT]; 09/2015<br />
<br />
* P. Feller, S. Pohlmann, R. Zentner, Alternating numbers of torus knots with small braid index, [http://arxiv.org/abs/1508.05825 arXiv:1508.05825]; 08/2015<br />
<br />
* I. Barnea, [http://wwwmath.uni-muenster.de/u/joachim/ M. Joachim], S. Mahanta. Model structure on projective systems of C*-algebras and bivariant homology theories. [http://arxiv.org/abs/1508.04283 math.KT]; 08/2015<br />
<br />
* C. Löh, C. Pagliantini, S. Waeber. Cubical simplicial volume of 3-manifolds. [http://arxiv.org/abs/1508.03017 arXiv:1508.03017 math.GT]; 08/2015<br />
<br />
* B. Ammann, F. Madani, M. Pilca. The S^1-equivariant Yamabe invariant of 3-manifolds [http://arxiv.org/abs/1508.02727 arxiv:1508.02727 math.DG]; 08/2015<br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], J. Rabinoff, [https://www.uni-frankfurt.de/50278019/Werner A. Werner] Tropical Skeletons [https://arxiv.org/pdf/1508.01179.pdf arXiv:1508.01179 math.AG]; 08/2015<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. On infinitesimal Einstein deformations [https://arxiv.org/abs/1508.00721 arXiv:1508.00721 math.DG]; 08/2015<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. On the stability of Einstein manifolds [https://arxiv.org/abs/1311.6749 arXiv:1311.6749 math.DG]; 08/2015<br />
<br />
* F. Bambozzi. Closed graph theorems for bornological spaces. [http://arxiv.org/abs/1508.01563 arXiv:1508.01563 math.FA]; 08/2015<br />
<br />
* A. Mathew, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] Nilpotence and descent in equivariant stable homotopy theory. [http://www.sciencedirect.com/science/article/pii/S0001870815300062 Advances in Mathematics]. <br />
<br />
* A. Mathew, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] Derived induction and restriction theory. [http://arxiv.org/abs/1507.06867 arxiv:1507.06867 math.AT].<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Stable and unstable Einstein warped products [https://arxiv.org/abs/1507.01782 arXiv:1507.01782 math.DG]; 07/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], K. Schreve, S. Tillmann. Thurston norm via Fox calculus. [http://de.arxiv.org/pdf/1507.05660.pdf arXiv:1507.05660 math.GT]; 07/2015<br />
<br />
* X. Shen; Perfectoid Shimura varieties of abelian type [http://arxiv.org/abs/1507.01824 arXiv:1507.01824 math.NT]; 07/2015<br />
<br />
* R. Nakad, M. Pilca. Eigenvalue Estimates of the spin^c Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds. [https://arxiv.org/abs/1502.05252 arXiv:1502.05252 math.DG]; 07/2015<br />
<br />
* [http://www.mathematik.uni-muenchen.de/~dieter/ D. Kotschick], C. L&ouml;h, [https://www2.math.binghamton.edu/p/people/chrisneo/start C. Neofytidis]. On stability of non-domination under taking products. [http://arxiv.org/abs/1507.01413 arXiv:1507.01413 math.GT]; 07/2015<br />
<br />
* R. Frigerio, C. L&ouml;h, C. Pagliantini, [http://topology.math.kit.edu/english/21_53.php R. Sauer]. Integral foliated simplicial volume of aspherical manifolds. [http://arxiv.org/abs/1506.05567 arXiv:1506.05567 math.GT]; 06/2015<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Stability and instability of Ricci solitions [https://arxiv.org/abs/1403.3721 arXiv:1403.3721 math.DG]; 06/2015<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Rigidity and infinitesimal deformability of Ricci solitions [https://arxiv.org/abs/1408.6751 arXiv:1408.6751 math.DG]; 06/2015<br />
<br />
* O. Raventós. The hammock localization preserves homotopies. [http://arxiv.org/abs/1404.7354 arXiv:1404.7354]; new version 05/2015<br />
<br />
* M. Boileau, [https://friedl.app.uni-regensburg.de/ S. Friedl]. The profinite completion of $3$-manifold groups, fiberedness and the Thurston norm. [http://arxiv.org/pdf/arXiv:1505.07799 arXiv:1505.07799 math.GT]; 05/2015<br />
<br />
* S. Wang. Le système d'Euler de Kato en famille (II) [http://arxiv.org/abs/1312.6428 arXiv:1312.6428 math.NT]; new version 05/2015<br />
<br />
* A. Huber, [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings]. Polylogarithm for families of commutative group schemes [http://arxiv.org/pdf/1505.04574.pdf arxiv:1505.04574 math.AG]; 05/2015<br />
<br />
* M. Blank; Relative Bounded Cohomology for Groupoids [http://arxiv.org/abs/1505.05126 arXiv:1505.05126 math.AT]; 05/2015<br />
<br />
* A. Engel. Rough index theory on spaces of polynomial growth and contractibility. [http://arxiv.org/abs/1505.03988 arXiv:1505.03988 math.DG]; 05/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, M. Nagel. A note on the existence of essential tribranched surfaces. [http://arxiv.org/pdf/arXiv:1505.01806 arXiv:arXiv:1505.01806 math.GT]; 05/2015<br />
<br />
* [http://mate.dm.uba.ar/~ghenry/index.html G. Henry]. Second Yamabe constant on Riemannian products. [http://arxiv.org/abs/1505.00981 arXiv:1505.00981 math.DG]; 05/2015<br />
<br />
* C. L&ouml;h. A note on bounded-cohomological dimension of discrete groups. [http://arxiv.org/abs/1504.05760 arXiv:1504.05760 math.GR]; 04/2015<br />
<br />
* [http://homepage.univie.ac.at/david.fajman/ D. Fajman], [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Stable fixed points of the Einstein flow with positive cosmological constant [https://arxiv.org/abs/1504.00687 arXiv:1504.00687 math.DG]; 04/2015<br />
<br />
* S. Mahanta. Algebraic K-theory, K-regularity, and T-duality of O<sub>&infin;</sub>-stable C*-algebras. [http://arxiv.org/abs/1311.4720 arXiv:1311.4720 math.KT]; new version 04/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel. Twisted Reidemeister torsion and the Thurston norm: graph manifolds and finite representations. [http://arxiv.org/pdf/1503.07251 arXiv:1503.07251 math.GT]; 03/2015<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz]. A restriction isomorphism for cycles of relative dimension zero. [http://arxiv.org/abs/1503.08187 arXiv 1503.08187 math.AG]; 03/2015<br />
<br />
* M. Nagel, B. Owens. Unlinking information from 4-manifolds. [http://arxiv.org/abs/1503.03092 arXiv 1503.03092 math.GT]; 03/2015<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Loeffler, S. Zerbes. Rankin--Eisenstein classes and explicit reciprocity laws. [http://arxiv.org/pdf/1503.02888.pdf arxiv:1503.02888 math.NT]; 03/2015<br />
<br />
* B. Ammann, N. Große. Relations between threshold constants for Yamabe type bordism invariants. [http://arxiv.org/abs/1502.05232 arxiv:1502.05232 math.DG]; 02/2015<br />
<br />
* R. Cluckers, F. Martin. A definable, p-adic analogue of Kiszbraun’s Theorem on extensions of Lipschitz maps. [http://arxiv.org/abs/1502.03036 arxiv:1502.03036 math.AG]; 02/2015<br />
<br />
* S. Mahanta. Symmetric monoidal noncommutative spectra, strongly self-absorbing C*-algebras, and bivariant homology. [http://arxiv.org/abs/1403.4130 arXiv:1403.4130 math.KT]; new version 02/2015<br />
<br />
* A. Engel. Index theory of uniform pseudodifferential operators. [http://arxiv.org/abs/1502.00494 arXiv:1502.00494 math.DG]; 02/2015<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz]. Transfinite limits in topos theory. [http://arxiv.org/abs/1502.01923 arXiv:1502.01923 math.CT]; 02/2015<br />
<br />
* F. Bambozzi, O. Ben-Bassat. Dagger Geometry As Banach Algebraic Geometry. [http://arxiv.org/abs/1502.01401v1 arXiv:1502.01401v1 math.AG]; 02/2015<br />
<br />
* S. Mahanta. C*-algebraic drawings of dendroidal sets. [http://arxiv.org/abs/1501.05799 arXiv:1501.05799 math.OA]; 01/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], S. Tillmann. Two-generator one-relator groups and marked polytopes. [http://arxiv.org/pdf/1501.03489v1.pdf arXiv:1501.03489 math.GR]; 01/2015<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Loeffler, S. Zerbes. Rankin-Eisenstein classes for modular forms. [http://arxiv.org/pdf/1501.03289.pdf arxiv:1501.03289 math.NT]; 01/2015<br />
<br />
* R. Zentner. A class of knots with simple SU(2) representations. [http://arxiv.org/pdf/1501.02504.pdf arXiv:1501.02504 math.GT]; 01/2015<br />
<br />
* J. Lind, V. Angeltveit. Uniqueness of BP<n>. [http://arxiv.org/pdf/1501.01448.pdf arXiv:1501.01448 math.AT]; 01/2015<br />
<br />
* S. Mahanta. Colocalizations of noncommutative spectra and bootstrap categories. [http://arxiv.org/abs/1412.8370 arXiv:1412.8370 math.KT]; new version 01/2015<br />
<br />
=== 2014 ===<br />
<br />
* V. Diekert, F. Martin, [http://dept-info.labri.fr/~ges/ G. Sénizergues], [http://cmup.fc.up.pt/cmup/pvsilva/ P. V. Silva]: Equations over free inverse monoids with idempotent variables. [http://arxiv.org/abs/1412.4737 arxiv:1412.4737 cs.LO]; 12/2014<br />
<br />
* Harju A.J: Quantum Orbifolds. [http://arxiv.org/pdf/1412.4589v1.pdf arXiv:1412.4589 math.QA]; 12/2014<br />
<br />
* Harju A.J.: On Noncommutative Geometry of Orbifolds. [http://arxiv.org/pdf/1405.7139v4.pdf arXiv:1405.7139 math.DG]; 12/2014 (revision)<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel. 3-manifolds that can be made acyclic. [http://arxiv.org/pdf/1412.4280 arXiv:1412.4280 math.GT]; 12/2014<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Roessler. Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes. [http://arxiv.org/pdf/1412.2925v1.pdf arXiv:1412:2925 math.AG]; 12/2014<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], D. Silver, S. Wiliams. The Turaev and Thurston norms. [http://arxiv.org/pdf/1412.2406.pdf arXiv:1412.2406 math.GT]; 12/2014<br />
<br />
* [http://www.math.uni-hamburg.de/home/belgun/ F. Belgun] Geodesics and Submanifold Structures in Conformal Geometry. [https://arxiv.org/abs/1411.4404 arXiv:1411.4404 math.DG]; 11/2014 <br />
<br />
* J. Dubois, [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. The L^2-Alexander torsion is symmetric. [http://arxiv.org/pdf/1411.2292.pdf arXiv:1411.2292 math.GT]; 11/2014<br />
<br />
* X. Shen. On the cohomology of some simple Shimura varieties with bad reduction. [http://arxiv.org/pdf/1411.0245v1.pdf arXiv:1411.0245 math.NT]; 11/2014<br />
<br />
* X. Shen. On the l-adic cohomology of some p-adically uniformized Shimura varieties. [http://arxiv.org/pdf/1411.0244v1.pdf arXiv:1411.0244 math.NT]; 11/2014<br />
<br />
* F. Martin. Overconvergent subanalytic subsets in the framework of Berkovich spaces [https://arxiv.org/abs/1211.6684 arXiv:1211.6684]; 10/2014<br />
<br />
* J. Dubois, [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. Three flavors of twisted invariants of knots. [http://arxiv.org/pdf/1410.6924.pdf arXiv:1410.6924 math.GT]; 10/2014<br />
<br />
* J. Dubois, [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. The L^2-Alexander torsion of 3-manifolds. [http://arxiv.org/pdf/1410.6918.pdf arXiv:1410.6918 math.GT]; 10/2014<br />
<br />
* A. Beilinson, [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], A. Levin. Topological polylogarithms and p-adic interpolation of L-values of totally real fields. [http://arxiv.org/pdf/1410.4741v1.pdf arXiv:1410:4741 math.NT]; 10/2014<br />
<br />
* M. Nagel. Minimal genus in circle bundles over 3-manifolds. [http://arxiv.org/pdf/1410.4018.pdf arXiv 1410.4018 math.GT]; 10/2014<br />
<br />
* [http://www.nullplug.org/ J. Noel] Nilpotence in the symplectic bordism ring. [http://arxiv.org/abs/1410.3847 arxiv 1410.3847 math.AT] To appear Cont. Mathematics. <br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel, M. Powell. A specious unlinking strategy. [http://arxiv.org/pdf/1410.2052.pdf arXiv:1410.2052 math.GT]; 10/2014<br />
<br />
* [http://www.mimuw.edu.pl/~mcboro/ M. Borodzik], [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Powell. Blanchfield forms and Gordian distance [http://arxiv.org/pdf/1409.8421.pdf arXiv:1409.8421 math.GT]; 09/2014<br />
<br />
* [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang]. p-adic interpolation and multiplicative orientations of KO and tmf. [http://arxiv.org/pdf/1409.5314v1.pdf arXiv:1409.5314 math.AT]; 09/2014<br />
<br />
* P. Jell. A Poincaré lemma for real valued differential forms on Berkovich spaces. [http://arxiv.org/abs/1409.0676 arXiv:1409:0676 math.AG]; 09/2014 [http://link.springer.com/article/10.1007%2Fs00209-015-1583-8 Publication at Mathematische Zeitschrift DOI: 10.1007/s00209-015-1583-8] 11/15<br />
<br />
* R. Scheider. The de Rham realization of the elliptic polylogarithm in families. [http://arxiv.org/abs/1408.3819 arXiv:1408.3819 math.AG]; 08/2014<br />
<br />
* G. Tamme. On an analytic version of Lazard's isomorphism. [http://arxiv.org/abs/1408.4301 arXiv:1408.4301 math.NT]; 08/2014<br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], [http://www.uni-regensburg.de/mathematics/mathematics-kuennemann/ K. Künnemann]. A tropical approach to non-archimedean Arakelov theory. [http://arxiv.org/abs/1406.7637 arXiv:1406.7637 math.AG]; 06/2014<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Loeffler, S. Zerbes. Rankin-Selberg Eulersystems and p-adic interpolation. [http://arxiv.org/pdf/1405.3079.pdf arxiv:1405.3079 math.NT]; 05/2014<br />
<br />
* A. Mathew, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] On a nilpotence conjecture of J.P. May. [http://arxiv.org/abs/1403.2023 arxiv:1403.2023 math.AT]; Journal of Topology, 12/2015. <br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], J. Rabinoff, [https://www.uni-frankfurt.de/50278019/Werner A. Werner] Skeletons and tropicalizations. [https://arxiv.org/pdf/1404.7044v3.pdf arXiv:1404.7044 math.AG]; 04/2014<br />
<br />
* C. Löh. Finite functorial semi-norms and representability. [http://arxiv.org/abs/1404.6557 arXiv:1404.6557 math.AT]; 04/2014</div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2648HIOB WS24/252024-10-14T12:52:34Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
[https://uni-regensburg.zoom-x.de/j/65035534200?pwd=jzbXko8o4oOwX9aA5TgRRTB9g2JJw5.1 zoom link]<br />
<br />
Meeting ID: 650 3553 4200<br />
Passcode: 247561 <br><br />
<br />
== Schedule ==<br />
Here you can find the [https://sfb-higher-invariants.app.uni-regensburg.de/images/c/c0/HIOB2024_%282%29.pdf programme (PDF)] of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Andrea Panontin</td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Jonathan Gloeckle </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Yuenian Zhou </td><br />
<td></td><br />
<td> ''Representations of p-groups in characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Chiara Sabadin </td><br />
<td></td><br />
<td> ''Projective modules for finite dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Jeroen Hekking </td><br />
<td></td><br />
<td> ''Projective modules for group algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Zhenghang</td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Christoph Fronhoefer </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Clara Otte </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Raphael Schmidpeter </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2613HIOB WS24/252024-10-11T10:02:05Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
[https://uni-regensburg.zoom-x.de/j/65035534200?pwd=jzbXko8o4oOwX9aA5TgRRTB9g2JJw5.1 zoom link]<br />
<br />
Meeting ID: 650 3553 4200<br />
Passcode: 247561 <br><br />
<br />
== Schedule ==<br />
Here you can find the [https://sfb-higher-invariants.app.uni-regensburg.de/images/c/c0/HIOB2024_%282%29.pdf programme (PDF)] of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Andrea Panontin</td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Yuenian Zhou </td><br />
<td></td><br />
<td> ''Representations of p-groups in characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Chiara Sabadin </td><br />
<td></td><br />
<td> ''Projective modules for finite dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Jeroen Hekking </td><br />
<td></td><br />
<td> ''Projective modules for group algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Zhenghang</td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Christoph Fronhoefer </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2612HIOB WS24/252024-10-11T10:01:29Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
[https://uni-regensburg.zoom-x.de/j/65035534200?pwd=jzbXko8o4oOwX9aA5TgRRTB9g2JJw5.1 zoom link]<br />
<br />
Meeting ID: 650 3553 4200<br />
Passcode: 247561 <br><br />
<br />
== Schedule ==<br />
Here you can find the [https://sfb-higher-invariants.app.uni-regensburg.de/images/c/c0/HIOB2024_%282%29.pdf programme (PDF)] of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Andrea Panontin</td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Yuenian Zhou </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Chiara Sabadin </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Jeroen Hekking </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Zhenghang</td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Christoph Fronhoefer </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2600HIOB WS24/252024-10-09T08:54:42Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
[https://uni-regensburg.zoom-x.de/j/65035534200?pwd=jzbXko8o4oOwX9aA5TgRRTB9g2JJw5.1 zoom link]<br />
<br />
Meeting ID: 650 3553 4200<br />
Passcode: 247561 <br><br />
<br />
== Schedule ==<br />
Here you can find the programme of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Yuenian Zhou </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Chiara Sabadin </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Jeroen Hekking </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Zhenghang</td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Christoph Fronhoefer </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2580HIOB WS24/252024-10-07T08:49:11Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
Meeting ID: [https://uni-regensburg.zoom-x.de/j/68982686289 689 8268 6289] <br><br />
<br />
== Schedule ==<br />
Here you can find the programme of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Yuenian Zhou </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Chiara Sabadin </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Jeroen Hekking </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Zhenghang</td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Christoph Fronhoefer </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2577HIOB WS24/252024-10-03T17:41:09Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
Meeting ID: [https://uni-regensburg.zoom-x.de/j/68982686289 689 8268 6289] <br><br />
<br />
== Schedule ==<br />
Here you can find the programme of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Yuenian Zhou </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Chiara Sabadin </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Jeroen Hekking </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Christoph Fronhoefer </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2529HIOB WS24/252024-09-11T07:52:16Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
Meeting ID: [https://uni-regensburg.zoom-x.de/j/68982686289 689 8268 6289] <br><br />
<br />
== Schedule ==<br />
Here you can find the programme of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Yuenian Zhou </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Jeroen Hekking </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Christoph Fronhoefer </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2523HIOB WS24/252024-09-09T13:02:07Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
Meeting ID: [https://uni-regensburg.zoom-x.de/j/68982686289 689 8268 6289] <br><br />
<br />
== Schedule ==<br />
Here you can find the programme of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Yuenian Zhou </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Christoph Fronhoefer </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2522HIOB WS24/252024-09-09T12:03:05Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
Meeting ID: [https://uni-regensburg.zoom-x.de/j/68982686289 689 8268 6289] <br><br />
<br />
== Schedule ==<br />
Here you can find the programme of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Yuenian Zhou </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2520HIOB WS24/252024-09-06T13:16:42Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
Meeting ID: [https://uni-regensburg.zoom-x.de/j/68982686289 689 8268 6289] <br><br />
<br />
== Schedule ==<br />
Here you can find the programme of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> - </td><br />
<td></td><br />
<td> - </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2519HIOB WS24/252024-09-06T12:52:16Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
Meeting ID: [https://uni-regensburg.zoom-x.de/j/68982686289 689 8268 6289] <br><br />
<br />
== Schedule ==<br />
Here you can find the programme of the seminar. <br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2518HIOB WS24/252024-09-06T12:35:53Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
Meeting ID: [https://uni-regensburg.zoom-x.de/j/68982686289 689 8268 6289] <br><br />
<br />
== Schedule ==<br />
The detailed '''program''' will be announced in October.<br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> Luca Pol </td><br />
<td></td><br />
<td> ''Intro talk'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations and Maschke’s theorem'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Character theory '' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Theorems of Mackey and Clifford'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Representations of p-groups in<br />
characteristic p'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for finite<br />
dimensional algebras'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Projective modules for group<br />
algebras'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Splitting fields and the decomposition map'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Brauer characters'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Indecomposable modules'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Vertices, source and Green's correspondence'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Block theory'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''Discussion new HIOB'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=HIOB_WS24/25&diff=2502HIOB WS24/252024-07-25T09:43:07Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
== '''Higher Invariants Oberseminar (HIOB)''' &emsp; (Winter Semester 2024/2025) <br> ''''' Modular representation theory '''''==<br />
<br />
'''HIOB-Organizers''': <br><br />
Luca Pol<br />
<br />
'''Time and place''': <br><br />
The HIOB will take place in the '''SFB Seminar Room every Monday at 12.15-13.45'''. <br />
<br />
'''Zoom Details''': <br><br />
Meeting ID: [https://uni-regensburg.zoom-x.de/j/68982686289 689 8268 6289] <br><br />
<br />
== Schedule ==<br />
The detailed '''program''' will be announced in October.<br />
<br />
<table><br />
<tr><br />
<td><b></b></td><br />
<td><b>Date</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Room</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Speaker</b></td><br />
<td><b>&nbsp;</b></td><br />
<td><b>Topic</b></td><br />
</tr><br />
<br />
<tr><br />
<td><b>1</b></td><br />
<td> 14 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>2</b></td><br />
<td> 21 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>3</b></td><br />
<td> 28 October </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>4</b></td><br />
<td> 4 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>5</b></td><br />
<td> 11 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>6</b></td><br />
<td> 18 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<br />
<tr><br />
<td><b>7</b></td><br />
<td> 25 November </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>8</b></td><br />
<td> 2 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>9</b></td><br />
<td> 9 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>10</b></td><br />
<td> 16 December </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 13 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 20 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>B</b></td><br />
<td> 27 Januar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<tr><br />
<td><b>D</b></td><br />
<td> 3 Februar </td><br />
<td></td><br />
<td> M 311 </td><br />
<td></td><br />
<td> TBA </td><br />
<td></td><br />
<td> ''TBA'' </td><br />
</tr><br />
<br />
<br />
<br />
</table></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Research&diff=2444Research2024-07-09T08:19:08Z<p>Pol65357: </p>
<hr />
<div>__NOTOC__<br />
<br />
{{Template:Topics}}<br />
<br />
{{Template:Projects and principal investigators}}<br />
<br />
== Publications/Preprints (in reverse chronological order) ==<br />
<br />
=== 2024 ===<br />
* D. Gepner, S. Linskens, [https://sites.google.com/view/lucapol/home L. Pol] Global 2-rings and genuine refinements.[https://arxiv.org/pdf/2407.05124, arXiv:2407.05124];07/2024<br />
<br />
* [https://sites.google.com/view/ysqin/ Y.Qin]. On the Brauer groups of fibrations. Math. Z. 307, 18 (2024), [https://doi.org/10.1007/s00209-024-03487-8 published version]; 04/2024<br />
<br />
* [https://www.math.cit.tum.de/en/algebra/karlsson/ E. Karlsson], [https://www.math.cit.tum.de/en/algebra/scheimbauer/ C. I. Scheimbauer], [https://www.math.cit.tum.de/en/algebra/personen/walde/ T. Walde]. Assembly of constructible factorization algebras, [https://arxiv.org/abs/2403.19472 arXiv:2403.19472]; 03/2024<br />
<br />
* T. Annala, [https://hoyois.app.ur.de M. Hoyois], R. Iwasa. Atiyah duality for motivic spectra, [https://arxiv.org/abs/2403.01561 arXiv:2403.01561 math.AG]; 03/2024<br />
<br />
* [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], T. Lenz, S. Linskens. Parametrized higher semiadditivity and the universality of spans, [https://arxiv.org/abs/2403.07676 arXiv:2403.07676]; 03/2024<br />
<br />
* [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], R. Haugseng, T. Lenz, S. Linskens. Homotopical commutative rings and bispans, [https://arxiv.org/abs/2403.06911 arXiv:2403.06911]; 03/2024<br />
<br />
* M. Ramzi, [https://vova-sosnilo.com/ V. Sosnilo], [https://homepages.uni-regensburg.de/~wic42659/ C. Winges]. Every spectrum is the K-theory of a stable &infin;-category, [https://arxiv.org/abs/2401.06510 arXiv:2401.06510]; 01/2024<br />
<br />
=== 2023 ===<br />
<br />
* H. Esnault, M. Kerz. Semi-stable Lefschetz Pencils, [https://arxiv.org/abs/2311.15886 arXiv:2311.15886]; 11/2023<br />
<br />
* L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Proper morphisms of infinity-topoi, [https://arxiv.org/abs/2311.08051 arxiv:2311.08051]; 11/2023.<br />
<br />
* [https://sites.google.com/view/bastiaan-cnossen B. Cnossen], T. Lenz, S. Linskens. The Adams isomorphism revisited, [https://arxiv.org/abs/2311.04884 arXiv:2311.04884]; 11/2023<br />
<br />
* B. Ammann, C.Löh, [http://www.berndammann.de/publications/minimal-geodesics/ A quadratic lower bound for the number of minimal geodesics], [https://arxiv.org/abs/2311.01626 arXiv:2311.01626]; 11/2023.<br />
<br />
* M. Pippi. On some (co)homological invariants of coherent matrix factorizations, J. Noncommut. Geom. (2023), arXiv version: [https://arxiv.org/abs/2011.14740]; 08/2023.<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h], [https://graptismath.net G. Raptis]. A roadmap to the (vanishing of the) Euler characteristic, [https://arxiv.org/abs/2306.16933 arXiv:2306.16933 math.GT]; the poster version can be found [https://go.ur.de/euler-roadmap here]; 06/2023<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h]. Exponential growth rates in hyperbolic groups (after Koji Fujiwara and Zlil Sela), Exposée 1206 for the Séminaire Bourbaki (April 2023), [https://arxiv.org/abs/2304.04424 arXiv:2304.04424 math.GR]; 04/2023<br />
<br />
* [https://homepages.uni-regensburg.de/~glj57400/index.html J. Glöckle], Initial data rigidity via Dirac-Witten operators, [https://arxiv.org/abs/2304.02331 arXiv:2304.02331 math.DG]; 04/2023.<br />
<br />
* R. Gualdi, M. Sombra. Limit heights and special values of the Riemann zeta function, [https://arxiv.org/abs/2304.01966 arXiv:2304.01966 math.NT]; 04/2023.<br />
<br />
* P. Haine, Tim Holzschuh, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Nonabelian base change theorems & étale homotopy theory, [https://arxiv.org/abs/2304.00938 arXiv:2304.00938 math.AG]; 04/2023.<br />
<br />
* L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Internal higher topos theory, [https://arxiv.org/abs/2303.06437 arXiv:2303.06437 math.CT]; 03/2023.<br />
<br />
* T. Annala, [https://hoyois.app.uni-regensburg.de M. Hoyois], R. Iwasa. Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory, [https://arxiv.org/abs/2303.02051 arXiv:2303.02051 math.AG]; 03/2023. To appear in J. Amer. Math. Soc.<br />
<br />
* M. Grant, [https://kevinlimath.wordpress.com/ K. Li], E. Meir, I. Patchkoria. Comparison of equivariant cohomological dimensions, [https://arxiv.org/abs/2302.08574 arXiv:2302.08574 math.AT]; 02/2023.<br />
<br />
* D. Beraldo, M. Pippi. Non-commutative nature of ℓ-adic vanishing cycles, [https://arxiv.org/abs/2302.10120 arXiv:2302.10120 math.AG]; 02/2023.<br />
<br />
* [https://homepages.uni-regensburg.de/~gur23971/ R. Gualdi]. ¿Cu&aacute;ntas ra&iacute;ces de la unidad anulan un polinomio en dos variables?, La Gaceta de la Real Sociedad Matem&aacute;tica Espa&ntilde;ola 26 (2023), 149 — 172; 02/2023 (divulgative article)<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h]. A comment on the structure of graded modules over graded principal ideal domains in the context of persistent homology, [https://arxiv.org/abs/2301.11756 arXiv:2301.11756 math.AC]; 01/2023<br />
<br />
* M. Christ, T. Dyckerhoff, [https://www.math.cit.tum.de/en/algebra/personen/walde/ T. Walde]. Lax additivity, [https://arxiv.org/abs/2402.12251 arXiv:2402.12251]; 01/2023.<br />
<br />
* M. Christ, T. Dyckerhoff, [https://www.math.cit.tum.de/en/algebra/personen/walde/ T. Walde]. Complexes of stable ∞-categories, [https://arxiv.org/abs/2301.02606 arXiv:2301.02606]; 01/2023.<br />
<br />
* T. Barthel, N. Castellana, D. Heard, [https://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [https://sites.google.com/view/lucapol/home L. Pol] Quillen stratification in equivariant homotopy theory.[https://arxiv.org/abs/2301.02212 ArXiv:2301.02212];01/2023<br />
<br />
=== 2022 ===<br />
* [https://sites.google.com/view/lucapol/home L. Pol]. On free global spectra. [https://arxiv.org/abs/2212.13775 arXiv:2212.13775]; 12/2022<br />
<br />
* A. Hogadi, S. Yadav. \A^1 connectivity of moduli of vector bundles on a curve. [https://arxiv.org/abs/2110.05799 arXiv:2110.05799v2]; 12/22 (updated and final version) <br />
<br />
*[https://homepages.uni-regensburg.de/~usm34387/ M. Uschold].Torsion homology growth and cheap rebuilding of inner-amenablegroups, [https://arxiv.org/abs/2212.07916 arXiv: 2212.07916math.GR]; 12/2022.<br />
<br />
* D. Beraldo, M. Pippi. Non-commutative intersection theory and unipotent Deligne-Milnor formula, [https://arxiv.org/abs/2211.11717 arXiv:2211.11717 math.AG]; 11/2022.<br />
<br />
* [https://homepages.uni-regensburg.de/~glj57400/index.html J. Glöckle], An Enlargeability Obstruction for Spacetimes with both Big Bang and Big Crunch, [https://arxiv.org/abs/2111.02656 arXiv:2111.02656 math.DG]; 11/2022.<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h], G. Sartori. Integral foliated simplicial volume and ergodic decomposition, [https://arxiv.org/abs/2211.00337 arXiv:2211.00337 math.GT]; 11/2022<br />
<br />
* [https://vova-sosnilo.com/ V. Sosnilo]. \A^1-invariance of localizing invariants, [https://arxiv.org/abs/2211.05602 arXiv:2211.05602]; 10/2022; to appear in Journal of K-theory<br />
<br />
* [https://hoyois.app.uni-regensburg.de M. Hoyois], Joachim Jelisiejew, [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], [https://www.muramatik.com M. Yakerson]. Hermitian K-theory via oriented Gorenstein algebras. [https://arxiv.org/abs/2103.15474 arXiv:2103.15474]; 09/2022<br />
<br />
* D.-C. Cisinski, M. Pippi. Étale tame vanishing cycles over [A^1_S/G_{m,S}], [https://arxiv.org/abs/2209.13381 arXiv:2209.13381]; 09/2022.<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h], [https://homepages.uni-regensburg.de/~prj05723/ J. Witzig]. Universal finite functorial semi-norms, [https://arxiv.org/abs/2209.12971 arXiv:2209.12971 math.CT]; 09/2022<br />
<br />
* L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Presentable categories internal to an infinity-topos, [https://arxiv.org/abs/2209.05103 arxiv:2209.05103 math.CT]; 09/2022<br />
<br />
* P. Haine, Tim Holzschuh, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], The fundamental fiber sequence in étale homotopy theory, [https://doi.org/10.1093/imrn/rnad018 International Mathematics Research Notices]<br />
<br />
* [https://loeh.app.ur.de C. L&ouml;h]. Exploring Formalisation. A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology, Surveys and Tutorials in the Applied Mathematical Sciences, volume 11, Springer, [https://doi.org/10.1007/978-3-031-14649-7 DOI 10.1007/978-3-031-14649-7], [https://loeh.app.uni-regensburg.de/exploring-formalisation/ project homepage (including Lean src)], 09/2022.<br />
<br />
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, J. Rathore, Tame class field theory over local fields, [https://arxiv.org/abs/2209.02953 arXiv:2209.02953]; 09/2022<br />
<br />
* [https://people.math.ethz.ch/~bbrueck/ B. Br&uuml;ck], [https://people.math.ethz.ch/~fournief/ F. Fournier Facio], [https://loeh.app.ur.de C. L&ouml;h]. Median quasimorphisms on CAT(0) cube complexes and their cup products, [https://arxiv.org/abs/2209.05811 arXiv:2209.05811 math.GR]; 09/2022<br />
<br />
* B. Ammann, [http://www.berndammann.de/publications/diracharm3/ On Triviality of Dirac-harmonic maps], [https://arxiv.org/abs/2209.03074 arXiv:2209.03074]; 09/2022.<br />
<br />
* S. Linskens, D. Nardin, [https://sites.google.com/view/lucapol/home L. Pol]. Global homotopy theory via partially lax limits. [https://arxiv.org/abs/2206.01556 arXiv:2206.01556]; 06/2022<br />
<br />
*[https://loeh.app.ur.de C. L&ouml;h]. The spectrum of simplicial volume with fixed fundamental group, [https://arxiv.org/abs/2205.14877 arXiv:2205.14877 math.GT]; 05/2022<br />
<br />
*[https://www.uni-regensburg.de/mathematics/mathematics-pippi/startseite/index.html M. Pippi]. On the structure of dg categories of relative singularities, updated version [https://arxiv.org/abs/1911.01332 arXiv:1911.01332v2]; 05/2022<br />
<br />
*[https://hk-nguyen-math.github.io H.K. Nguyen], Taichi Uemura. ∞-type theories, [https://arxiv.org/abs/2205.00798 arXiv:2205.00789]; 05/2022<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], C. Kausik, J. P. Quintanilha. An algorithm to calculate generalized Seifert matrices, [https://arxiv.org/abs/2204.10004 arXiv:2204.10004 math.GT]; 04/2022<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], [https://homepages.uni-regensburg.de/~mif57716/index.html F. Misev], R. Zentner. Rational homology ribbon cobordism is a partial order, [https://arxiv.org/abs/2204.10730 arXiv:2204.10730 math.GT]; 04/2022<br />
<br />
* Y. Fang, [https://gubler.app.uni-regensburg.de/ W. Gubler], [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html K. Künnemann]. On the non-archimedean Monge-Ampère equation in mixed characteristic. [https://arxiv.org/abs/2203.12282 arXiv:2203.12282]; 03/2022<br />
<br />
* [https://homepages.uni-regensburg.de/~prj05723/ J. Witzig]. Abstract Excision and ℓ¹-Homology, [https://arxiv.org/abs/2203.06120 arXiv:2203.06120 math.AT]; 03/2022<br />
<br />
* [https://kevinlimath.wordpress.com/ K. Li], C. L&ouml;h, M. Moraschini. Bounded acyclicity and relative simplicial volume, [https://arxiv.org/abs/2202.05606 arXiv:2202.05606 math.AT]; 02/2022<br />
<br />
* C. L&ouml;h, [https://homepages.uni-regensburg.de/~usm34387 M. Uschold]. L^2-Betti numbers and computability of reals, [https://arxiv.org/abs/2202.03159 arXiv:2202.03159 math.GR]; 02/2022<br />
<br />
=== 2021 ===<br />
<br />
* C. L&ouml;h, M. Moraschini, [https://topology.math.kit.edu/21_53.php R. Sauer]. Amenable covers and integral foliated simplicial volume, [https://arxiv.org/abs/2112.12223 arXiv:2112.12223 math.GT]; 12/2021<br />
<br />
* L. Martini, [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], Limits and colimits in internal higher category theory, [https://arxiv.org/abs/2111.14495 arxiv:2111.14495 math.CT]; 11/2021<br />
<br />
* [https://people.math.ethz.ch/~fournief/ F. Fournier Facio], C. L&ouml;h, M. Moraschini. Bounded cohomology and binate groups, [https://arxiv.org/abs/2111.04305 arXiv:2111.04305 math.GR]; 11/2021<br />
<br />
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, J. Rathore, A decomposition theorem for 0-cycles and applications, [https://arxiv.org/abs/2109.10037 arXiv:2109.10037]; 09/2021<br />
<br />
* C. L&ouml;h, M. Moraschini, [https://www.graptismath.net G. Raptis]. On the simplicial volume and the Euler characteristic of (aspherical) manifolds, [https://arxiv.org/abs/2109.08115 arXiv:2109.08115 math.AT]; 09/2021<br />
<br />
* A. A. Khan, C. Ravi. Generalized cohomology theories for algebraic stacks. [https://arxiv.org/abs/2106.15001 arXiv:2106.15001]; 06/2021<br />
<br />
* [https://people.math.ethz.ch/~fournief/ F. Fournier Facio], C. L&ouml;h, M. Moraschini. Bounded cohomology of finitely generated groups: vanishing, non-vanishing, and computability, [https://arxiv.org/abs/2106.13567 arXiv:2106.13567 math.GR]; 06/2021<br />
<br />
* [https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. Local Gorenstein duality in chromatic group cohomology. [https://arxiv.org/abs/2106.08669 arXiv:2106.08669]; 06/2021<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], [https://homepages.uni-regensburg.de/~mul37549/ L. Munser], J. P. Quintanilha, Y. Santos Rego. Canonical decompositions and algorithmic recognition of spatial graphs, [https://arxiv.org/abs/2105.06905 arXiv:2105.06905 math.GT]; 05/2021<br />
<br />
* M. Moraschini, [https://graptismath.net/index.html G. Raptis]. Amenability and acyclicity in bounded cohomology theory, [https://arxiv.org/abs/2105.02821 arXiv:2105.02821 math.AT]; 05/2021<br />
<br />
* C. L&ouml;h, M. Moraschini. Topological volumes of fibrations: A note on open covers, [https://arxiv.org/abs/2104.06038 arXiv:2104.06038 math.GT]; 04/2021<br />
<br />
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Ramified class field theory and duality over finite fields, [https://arxiv.org/abs/2104.03029 arXiv:2104.03029]; 04/2021<br />
<br />
* [https://graptismath.net/index.html G. Raptis]. Bounded cohomology and homotopy colimits, [https://arxiv.org/abs/2103.15614 arXiv:2103.15614]; 03/2021<br />
<br />
* B. Ammann, [http://homepages.uni-regensburg.de/~glj57400/ J. Glöckle], [https://arxiv.org/abs/2103.11032 arXiv:2103.11032]; 03/2021.<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], S. Saito, G. Tamme. K-theory of non-archimedean rings II. [https://arxiv.org/abs/2103.06711 arXiv:2103.06711]; 03/2021<br />
<br />
* [https://hk-nguyen-math.github.io/ H. K. Nguyen], [https://graptismath.net/index.html G. Raptis], C. Schrade. Higher weak (co)limits, adjoint functor theorems, and higher Brown representability, [https://arxiv.org/abs/2103.06003 arXiv:2103.06003]; 03/2021<br />
<br />
* F. Hanisch, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold. [https://arxiv.org/abs/1709.10027 arXiv:1709.10027]; 03/2021<br />
<br />
* F. Hanisch, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. The Fermionic integral on loop space and the Pfaffian line bundle. [https://arxiv.org/abs/1709.10028 arXiv:1709.10028]; 03/2021<br />
<br />
* B. Güneysu, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. The Chern Character of theta-summable Fredholm Modules over dg Algebras and Localization on Loop Space. [https://arxiv.org/abs/1901.04721 arXiv:1901.04721]; 03/2021<br />
<br />
* J.I. Burgos Gil, [https://gubler.app.uni-regensburg.de/ W. Gubler], P. Jell, [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html K. Künnemann]. Pluripotential theory for tropical toric varieties and non-archimedean Monge-Ampére equations. [https://arxiv.org/abs/2102.07392 arXiv:2102.07392]; 02/2021<br />
<br />
* [https://sites.google.com/view/lucapol/home L. Pol], N.P. Strickland. Representation stability and outer automorphism groups. [https://arxiv.org/abs/2102.06410 arxiv:2102.06410]; 02/2021<br />
<br />
* T. Fenzl. Extended skeletons of poly-stable pairs, [https://arxiv.org/abs/2102.05130 arxiv:2102.05130]; 02/2021<br />
<br />
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Idele class groups with modulus, [https://arxiv.org/abs/2101.04609 arXiv:2101.04609]; 01/2021<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz]. Local systems with quasi-unipotent monodromy at infinity are dense, [https://arxiv.org/abs/2101.00487 arXiv:2101.00487]; 01/2021<br />
<br />
=== 2020 ===<br />
<br />
* [https://homepages.uni-regensburg.de/~wos07573/index.html S. Wolf], The pro-étale topos as a category of pyknotic presheaves, Doc. Math. 27, 2067-2106 (2022) 12/2020<br />
<br />
* B. Ammann, J. Mougel, V. Nistor. A regularity result for the bound states of N-body Schrödinger operators: Blow-ups and Lie manifolds [https://arxiv.org/abs/2012.13902 arXiv:2012.13902]; 12/2020.<br />
<br />
* J.I. Burgos Gil, [https://sites.google.com/view/souvikgoswami S. Goswami], G. Pearlstein. Height Pairing on Higher Cycles and Mixed Hodge Structures. Proceedings of the London Mathematical Society, 125 (2022), Issue 1, 61-170 [https://doi.org/10.1112/plms.12443].<br />
<br />
* P. Capovilla, M. Moraschini, C. L&ouml;h. Amenable category and complexity, [https://arxiv.org/abs/2012.00612 arXiv:2012.00612]; 12/2020.<br />
<br />
* S.Balchin, J.P.C. Greenlees, [https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. Torsion model for tensor triangulated categories: the one-step case. [https://arxiv.org/abs/2011.10413 arXiv:2011.10413]; 11/2020<br />
<br />
* [https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. The homotopy theory of complete modules. [https://arxiv.org/abs/2011.06989 arXiv:2011.06989]; 11/2020<br />
<br />
* S. Boucksom, [https://gubler.app.uni-regensburg.de/ W. Gubler], F. Martin. Non-Archimedean volumes of metrized nef line bundles. [https://arxiv.org/abs/2011.06986 arXiv:2011.06986]; 11/2020<br />
<br />
* T. Bachmann, A. A. Khan, C. Ravi, V. Sosnilo. Categorical Milnor squares and K-theory of algebraic stacks. [https://arxiv.org/abs/2011.04355 arXiv:2011.04355]; 11/2020<br />
<br />
* P. Dolce, [https://homepages.uni-regensburg.de/~gur23971/ R. Gualdi], Numerical equivalence of ℝ-divisors and Shioda-Tate formula for arithmetic varieties, [https://arxiv.org/abs/2010.16134 arXiv:2010.16134]; 10/2020<br />
<br />
* N. Heuer, C. L&ouml;h, The spectrum of simplicial volume of non-compact manifolds, [https://arxiv.org/abs/2010.12945 arXiv:2010.12945]; 10/2020.<br />
<br />
*[https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], Z. Yi, A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, [https://arxiv.org/abs/2010.05892 arXiv:2010.05892]; 10/2020.<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], C. L&ouml;h, Epimorphism testing with virtually Abelian targets, [https://arxiv.org/abs/2010.07537 arXiv:2010.07537]; 10/2020.<br />
<br />
* N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], New upper bounds for spherical codes and packings, [https://arxiv.org/abs/2001.00185 arXiv:2001.00185]; 09/2020<br />
<br />
* C. Ravi, B. Sreedhar. Virtual equivariant Grothendieck-Riemann-Roch formula. [https://arxiv.org/abs/2009.09697 arXiv:2009.09697]; 09/2020<br />
<br />
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings [http://arxiv.org/abs/2009.07225 arXiv:2009.07225]; 09/2020<br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry. [https://arxiv.org/abs/2009.07688 arXiv:2009.07688]; 09/2020. To appear in Comm. Math. Phys.<br />
<br />
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity [https://arxiv.org/abs/2009.07224 arXiv:2009.07224]; 09/2020<br />
<br />
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories I: Foundations [http://arxiv.org/abs/2009.07223 arXiv:2009.07223]; 09/2020<br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], Motivic invariants of symmetric powers, [https://arxiv.org/abs/2009.06986, arXiv:2009.06986]; 09/2020<br />
<br />
* [https://hoyois.app.uni-regensburg.de M. Hoyois], Joachim Jelisiejew, [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], Burt Totaro, [https://www.muramatik.com M. Yakerson]. The Hilbert scheme of infinite affine space and algebraic K-theory. [https://arxiv.org/abs/2002.11439 arXiv:2002.11439]; 09/2020<br />
<br />
* Y. Kezuka, Tamagawa number divisibility of central L-values of twists of the Fermat elliptic curve. [https://arxiv.org/abs/2003.02772 arXiv:2003.02772 math.NT]; 08/2020 <br />
<br />
* E. Elmanto, [https://homepages.uni-regensburg.de/~nad22969/research.php D. Nardin] and L. Yang. A descent view on Mitchell's theorem [https://arxiv.org/abs/2008.02821 arXiv:2008.02821]; 08/2020<br />
<br />
*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Reciprocity for Kato-Saito idele class group with modulus, [https://arxiv.org/abs/2008.05719 arXiv:2008.05719]; 08/2020<br />
<br />
* S. Baader, R. Blair, A. Kjuchukova and [https://homepages.uni-regensburg.de/~mif57716/ F. Misev]. The bridge number of arborescent links with many twigs. [https://arxiv.org/abs/2008.00763 arXiv:2008.00763]; 08/2020<br />
<br />
*[https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, L. Lewark, M. Nagel and M. Powell. Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials. [https://arxiv.org/abs/2007.15289 arXiv:2007.15289]; 08/2020<br />
<br />
* G. Herrmann and J. P. Quintanilha. The Complex of Hypersurfaces in a Homology Class. [https://arxiv.org/abs/2007.00522 arXiv:2007.00522]; 07/2020<br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], S. Roos. The Chiral Anomaly of the Free Fermion in Functorial Field Theory. [https://arxiv.org/abs/2010.05892 arXiv:2010.05892]; Ann. Henri Poincare, 21:1191-1233, 06/2020.<br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Good Wannier bases in Hilbert modules associated to topological insulators. [https://arxiv.org/abs/1904.13051 arXiv:1904.13051]; J. Math. Phys., 61, 061902, 06/2020.<br />
<br />
* A. Galateau and [https://cesar-martinez-math.weebly.com C. Martínez]. Homothéties explicites des représentations ℓ-adiques. [https://arxiv.org/abs/2006.07401 arXiv:2006.07401]; 06/2020<br />
<br />
* H. Esnault and M. Kerz. Density of Arithmetic Representations of Function Fields. [https://arxiv.org/abs/2005.12819 arXiv:2005.12819]; 05/2020<br />
<br />
* S. Boucksom, [https://gubler.app.uni-regensburg.de/ W. Gubler], F. Martin. Differentiability of relative volumes over an arbitrary non-archimedean field. [https://arxiv.org/abs/2004.03847 arXiv:2004.03847]; 04/2020<br />
<br />
* [https://ekvv.uni-bielefeld.de/pers_publ/publ/PersonDetail.jsp?personId=412153703&lang=en A. M. Botero] and J. I. Burgos Gil. Toroidal b-divisors and Monge-Ampére measures. [https://arxiv.org/abs/2004.14045 arXiv.2004.1405]; 04/2020<br />
<br />
* K. van Woerden. Quantifying Quillen's Uniform Fp-isomorphism Theorem. [https://arxiv.org/abs/1711.10206v2 arXiv:1711.10206v2 math. AT]; 03/2020<br />
<br />
*[https://drew-heard.github.io/ D. Heard]. The topological nilpotence degree of a Noetherian unstable algebra. [https://arxiv.org/abs/2003.13267 arXiv:2003.13267]; 03/2020<br />
<br />
* [https://www.fernuni-hagen.de/juniorprofessur-algebra/team/steffen.kionke.shtml S. Kionke], C. L&ouml;h. A note on p-adic simplicial volumes, [https://arxiv.org/abs/2003.10756 arXiv:2003.10756 math.GT]; 03/2020<br />
<br />
*[https://www.icmat.es/miembros/burgos/index.html Burgos Gil, José Ignacio]; [https://gubler.app.uni-regensburg.de/ Gubler, Walter]; P. Jell; [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html Künnemann, Klaus]: A comparison of positivity in complex and tropical toric geometry. [https://arxiv.org/abs/2003.08644 arXiv:2003.08644 math.AG]; 03/2020.<br />
<br />
* C. L&ouml;h. Ergodic theoretic methods in group homology. A minicourse on L2-Betti numbers in group theory. SpringerBriefs in Mathematics, Springer, [https://www.springer.com/gp/book/9783030442194 DOI 10.1007/978-3-030-44220-0] 03/2020.<br />
<br />
* C. L&ouml;h, M. Moraschini. Simplicial volume via normalised cycles, [https://arxiv.org/abs/2003.02584 arXiv:2003.02584 math.AT]; 03/2020<br />
<br />
* [https://homepages.uni-regensburg.de/~gur23971/ R. Gualdi], [https://cesar-martinez-math.weebly.com C. Martínez], Higher dimensional essential minima and equidistribution of cycles, [https://arxiv.org/abs/2001.11468 arXiv:2001.11468]; 01/2020<br />
<br />
* [http://markus-land.de M. Land], [http://www.staff.science.uu.nl/~meier007/ L. Meier], G. Tamme, Vanishing results for chromatic localizations of algebraic K-theory. [https://arxiv.org/abs/2001.10425 arXiv:2001.10425]; 01/2020<br />
<br />
* T. Barthel, [https://drew-heard.github.io/ D. Heard], N. Castellana, G. Valenzuela. Local Gorenstein duality for cochains on spaces. [https://arxiv.org/abs/2001.02580 arXiv:2001.02580]; 01/2020. Journal of Pure and Applied Algebra, Volume 225, Issue 2, February 2021<br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Cobordism invariance of topological edge-following states. [https://arxiv.org/abs/2001.08339 arXiv:2001.08339]; 01/2020. <br />
<br />
* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], A. Stoffel. A framework for geometric field theories and their classification in dimension one. [https://arxiv.org/abs/2001.05721 arXiv:2001.05721]; 01/2020. <br />
<br />
<br />
=== 2019 ===<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], Eisenstein-Kronecker classes, integrality of critical values of Hecke L-functions and p-adic interpolation,[https://arxiv.org/abs/1912.03657 arXiv:1912.03657]; 12/2019<br />
<br />
* M. Moraschini, Alessio Savini. Multiplicative constants and maximal measurable cocycles in bounded cohomology. [https://arxiv.org/abs/1912.09731 arXiv:1912.09731]; 12/2019<br />
<br />
* [https://friedl.app.uni-regensburg.de/ Stefan Friedl], Stefano Vidussi. BNS Invariants and Algebraic Fibrations of Group Extensions. [https://arxiv.org/abs/1912.10524 arXiv:1912.10524]; 12/2019<br />
<br />
* [http://people.dm.unipi.it/frigerio/ R. Frigerio], M. Moraschini. Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume, [https://arxiv.org/abs/1808.07307 arXiv:1808.07307 math.GT]; 12/2019; To appear in Memoirs of the American Mathematical Society.<br />
<br />
* [https://ekvv.uni-bielefeld.de/pers_publ/publ/PersonDetail.jsp?personId=412153703&lang=en A. M. Botero], J. I. Burgos Gil and M. Sombra. Convex analysis on polyhedral spaces. [https://arxiv.org/abs/1911.04821 arXiv:1911.04821]; 11/2019<br />
<br />
* Y. Kezuka, Y. Li, A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial. [https://arxiv.org/abs/1911.04532 arXiv:1911.04532 math.NT]; 11/2019<br />
<br />
* N. Heuer, C. L&ouml;h. Transcendental simplicial volumes, [https://arxiv.org/abs/1911.06386 arXiv:1911.006386 math.GT]; 11/2019<br />
<br />
* N. Heuer, C. L&ouml;h. Simplicial volume of one-relator groups and stable commutator length, [https://arxiv.org/abs/1911.02470 arXiv:1911.02470 math.GT]; 11/2019<br />
<br />
* T. Bachmann, E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, [https://www.muramatik.com M. Yakerson]. On the infinite loop spaces of algebraic cobordism and the motivic sphere. [https://arxiv.org/abs/1911.02262 arXiv:1911.02262]; 11/2019<br />
<br />
* C. L&ouml;h, [https://topology.math.kit.edu/english/21_53.php R. Sauer]. Bounded cohomology of amenable covers via classifying spaces, [https://arxiv.org/abs/1910.11716 arXiv:1910.11716 math.AT]; 10/2019<br />
<br />
* B. Ammann; J. Mougel; V. Nistor, A comparison of the Georgescu and Vasy spaces associated to the N-body problems. [https://arxiv.org/abs/1910.10656 arXiv:1910.10656 math-ph]; 10/2019<br />
<br />
* [https://ekvv.uni-bielefeld.de/pers_publ/publ/PersonDetail.jsp?personId=412153703&lang=en A. M. Botero]. The Convex-Set Algebra and intersection theory on the Toric Riemann-Zariski Space. [https://arxiv.org/abs/1909.08262 arXiv.1909.08262]; 09/2019<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel, P. Orson, M. Powell. A survey of the foundations of four-manifold theory in the topological category. [http://arxiv.org/abs/1910.07372 arXiv:1910.07372]; 10/2019<br />
<br />
* D. Fauser, C. L&ouml;h, M. Moraschini, J. P. Quintanilha. Stable integral simplicial volume of 3-manifolds, [https://arxiv.org/abs/1910.06120 arXiv:1910.06120 math.GT]; 10/2019<br />
<br />
* [https://sites.google.com/view/masoudzargar M.Zargar], Riemannian structures and point-counting, [https://arxiv.org/abs/1910.04003 arXiv:1910.04003]; 10/2019<br />
<br />
* [https://sites.google.com/view/masoudzargar M.Zargar], Comparison of stable homotopy categories and a generalized Suslin-Voevodsky theorem, [https://www.sciencedirect.com/science/article/pii/S0001870819303548 Advances in Mathematics, vol. 354]; 10/2019<br />
<br />
* [https://www.preschema.com A.A. Khan]. Virtual excess intersection theory. [https://arxiv.org/abs/1909.13829 arXiv:1909.13829]; 09/2019<br />
<br />
* P. Jell, Tropical cohomology with integral coefficients for analytic spaces. [https://arxiv.org/abs/1909.12633 arXiv:1909.12633 math.AG]; 09/2019<br />
<br />
* V. Wanner, Energy Minimization Principle for non-archimedean curves. [https://arxiv.org/abs/1909.11335 arXiv:1909.11335]; 09/2019.<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [http://www.lemiller.net/ L.E. Miller]. Witt differentials in the h-topology. [https://arxiv.org/abs/1703.08868 arXiv:1703.08868 math.AC]; Journal of Pure and Applied Algebra, vol. 223, no. 12, 12/2019, pp. 5285-5309.<br />
<br />
* N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], Ramanujan graphs and exponential sums over function fields, [https://arxiv.org/abs/1909.07365 arXiv:1909.07365]; 09/2019<br />
<br />
* [https://www.preschema.com A.A. Khan]. Virtual fundamental classes of derived stacks I. [https://arxiv.org/abs/1909.01332 arXiv:1909.01332]; 09/2019<br />
<br />
* M. Moraschini, Alessio Savini. A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices. [https://arxiv.org/pdf/1909.00846.pdf arXiv:1909.00846]; 09/2019 To appear in Transformation Groups.<br />
<br />
* Imre Bokor, Diarmuid Crowley, [https://friedl.app.uni-regensburg.de/ S. Friedl], Fabian Hebestreit, Daniel Kasprowski, [http://markus-land.de/ Markus Land], Johnny Nicholson Connected sum decompositions of high-dimensional manifolds. [http://arxiv.org/abs/1909.02628 arXiv:1909.02628]; 09/2019<br />
<br />
*M. Lüders, Algebraization for zero-cycles and the p-adic cycle class map, Mathematical Research Letters, [https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0026/0002/a008/index.php Volume 26] (2019) Number 2, pp. 557-585.<br />
<br />
*M. Lüders, A restriction isomorphism for zero cyclces with coefficients in Milnor K-theory, Cambridge Journal of Mathematics, [https://www.intlpress.com/site/pub/pages/journals/items/cjm/content/vols/0007/0001/a001/index.php Volume 7] (2019) Number 1-2, pp. 1-31.<br />
<br />
* A. Engel, Ch. Wulff, R. Zeidler. Slant products on the Higson-Roe exact sequence, [https://arxiv.org/abs/1909.03777 arXiv:1909.03777 math.KT]; 09/2019<br />
<br />
* S. Baader, I. Banfield, [http://lewark.de/lukas/ L. Lewark]. Untwisting 3-strand torus knots. [http://arxiv.org/abs/1909.01003 arXiv:1909.01003]; 09/2019<br />
<br />
* E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, M. Yakerson. Modules over algebraic cobordism. [https://arxiv.org/abs/1908.02162 arXiv:1908.02162]; 08/2019<br />
<br />
* N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], Sections of quadrics over A^1_{F_q}, [https://arxiv.org/abs/1907.07839v2 arXiv:1907.07839]; 08/2019<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz], Etale cohomology of rank one l-adic local systems in positive characteristic, [https://arxiv.org/abs/1908.08291 arxiv:1908.08291]; 08/2019<br />
<br />
* H.K.Nguyen, Covariant & Contravariant Homotopy Theories, [https://arxiv.org/abs/1908.06879 arxiv:1908.06879]; 08/2019<br />
<br />
* Y. Kezuka, On the main conjecture of Iwasawa theory for certain non-cyclotomic ℤp-extensions. [https://arxiv.org/abs/1711.07554 arXiv:1711.07554 math.NT]; J. Lond. Math. Soc., Vol. 100, pp. 107-136, 8/2019<br />
<br />
* Y. Kezuka, J. Choi, Y. Li, Analogues of Iwasawa's μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic ℤ2-extension. [https://arxiv.org/abs/1711.01697 arXiv:1711.01697 math.NT]; Asian J. Math., Vol. 23, No. 3, pp. 383-400, 7/2019<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], Mark Powell, Homotopy ribbon concordance and Alexander polynomials. [http://arxiv.org/abs/1907.09031 arXiv:1907.09031]; 07/2019<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], K. Yamada. Rigid analytic reconstruction of Hyodo--Kato theory. [https://arxiv.org/abs/1907.10964 arXiv:1907.10964 math.NT]; 07/2019.<br />
<br />
* [https://drew-heard.github.io/ D. Heard]. Depth and detection for Noetherian unstable algebras. [https://arxiv.org/abs/1907.06373 arxiv:1907.06373]; 07/2019<br />
<br />
*[https://sites.google.com/view/lukas-prader/ L. Prader], A local–global principle for surjective polynomial maps, [https://arxiv.org/abs/1909.11690 arXiv:1909.11690]; Journal of Pure and Applied Algebra 223(6), 06/2019, pp. 2371-2381 <br />
<br />
* [https://homepages.uni-regensburg.de/~glj57400/ J. Glöckle], Homotopy of the space of initial values satisfying the dominant energy condition strictly, [https://arxiv.org/abs/1906.00099 arXiv:1906.00099]; 05/2019<br />
<br />
* [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], C. Ravi. Rigidity in equivariant algebraic $K$-theory. [https://arxiv.org/abs/1905.03102 arXiv:1905.03102]; 05/2019<br />
<br />
* P. Feller, [http://lewark.de/lukas/ L. Lewark]. Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space. [http://arxiv.org/abs/1905.08305 arXiv:1905.08305]; 05/2019<br />
<br />
* [https://graptismath.net G. Raptis], W. Steimle, Topological manifold bundles and the A-theory assembly map. [https://arxiv.org/abs/1905.01868 arXiv:1905.01868]; 05/2019<br />
<br />
* P. Antonini, A. Buss, A. Engel, T. Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras, [https://arxiv.org/abs/1905.07730 arXiv:1905.07730 math.KT]; 05/2019<br />
<br />
* J. Schmidt, [https://www.florianstrunk.de F. Strunk]. A Bloch--Ogus Theorem for henselian local rings in mixed characteristic. [https://arxiv.org/abs/1904.02937 arXiv:1904.02937]; 04/2019<br />
<br />
* T. Barthel, [https://drew-heard.github.io/ D. Heard], N. Castellana, G. Valenzuela. On stratification for spaces with Noetherian mod p cohomology. [https://arxiv.org/abs/1904.12841 arxiv:1904.12841]; 04/2019<br />
<br />
* B. Karlhofer, [https://homepages.abdn.ac.uk/kedra/pages/ J. Kędra], M. Marcinkowski, A. Trost. Qualitative counting closed geodesics,[https://arxiv.org/abs/1904.11237 arXiv:1904.11237 math.DG]; 04/2019<br />
<br />
* N. Heuer, C. L&ouml;h. The spectrum of simplicial volume. [https://arxiv.org/abs/1904.04539 arXiv:1904.04539 math.GT]; 04/2019<br />
<br />
* K. Bohlen, J. M. Lescure. A geometric approach to K-homology for Lie manifolds, [https://arxiv.org/abs/1904.04069 arXiv:1904.04069]; 04/2019<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [https://www.s.u-tokyo.ac.jp/en/people/shiho_atsushi/ A. Shiho]. On infiniteness of integral overconvergent de Rham-Witt cohomology modulo torsion. [https://arxiv.org/abs/1812.03720 arXiv:1812.03720 math.NT]; 04/2019; to appear in the Tohoku Mathematical Journal.<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl]. A new proof of a vanishing result due to Berthelot, Esnault, and Rülling. [https://arxiv.org/abs/1805.06269 arXiv:1805.06269 math.NT]; 04/2019 to appear in the Journal of Number Theory.<br />
<br />
* C. L&ouml;h. Residually finite categories. [https://arxiv.org/abs/1903.11488 arXiv:1903.11488 math.CT]; 03/2019<br />
<br />
* A. Engel, C. L&ouml;h. Polynomially weighted l^p-completions and group homology. [https://arxiv.org/abs/1903.11486 arXiv:1903.11486 math.GR]; 03/2019<br />
<br />
* B. Ammann; K. Kröncke, O. Müller. Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors. Commun. Math. Phys. 387, 77-109 (2021), doi: 10.1007/s00220-021-04172-1, [https://arxiv.org/abs/1903.02064 arXiv:1903.02064 math.DG]; 03/2019<br />
<br />
* [https://www.math.bgu.ac.il/~brandens/ M. Brandenbursky], M. Marcinkowski. Bounded cohomology of transformation groups. [https://arxiv.org/abs/1902.11067 arXiv:1902.11067 math.GT]; 02/2019.<br />
<br />
* H. Esnault, [https://kerz.app.uni-regensburg.de/ M. Kerz], Arithmetic subspaces of moduli spaces of rank one local systems. [https://arxiv.org/abs/1902.02961 arXiv:1902.02961]; 2/2019.<br />
<br />
* F. Déglise, J. Fasel, F. Jin, [https://www.preschema.com A.A. Khan]. Borel isomorphism and absolute purity. [https://arxiv.org/abs/1902.02055 arXiv:1902.02055]; 02/2019<br />
<br />
* [https://graptismath.net G. Raptis], On transfer maps in the algebraic K-theory of spaces. [https://arxiv.org/abs/1901.05539 arXiv:1901.05539]; 01/2019<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [http://perso.ens-lyon.fr/wieslawa.niziol/ W. Nizioł]. Syntomic cohomology and p-adic motivic cohomology. [http://content.algebraicgeometry.nl/2019-1/2019-1-006.pdf Algebraic Geometry, vol. 6, no. 1, pp. 100-131]; 01/2019.<br />
<br />
=== 2018 ===<br />
<br />
* E. Elmanto, [https://www.preschema.com A.A. Khan]. Perfection in motivic homotopy theory. [https://arxiv.org/abs/1812.07506 arXiv:1812.07506]; 12/2018<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], [https://www.florianstrunk.de/ F. Strunk], G. Tamme, Towards Vorst's conjecture in positive characteristic. [https://arxiv.org/abs/1812.05342 arXiv:1812.05342]; 12/2018.<br />
<br />
* F. Binda,S. Saito, Semi-purity for cycles with modulus [https://arxiv.org/abs/1812.01878 arXiv:1812.01878]; 12/2018.<br />
<br />
* B. Ammann; N. Große; V Nistor, Analysis and boundary value problems on singular domains: an approach via bounded geometry. [https://arxiv.org/abs/1812.09898 arXiv:1812.09898 math.AP]; 12/2018<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], [https://homepages.uni-regensburg.de/~spj54141/ J. Sprang]. Integral Comparison of Monsky-Washnitzer and overconvergent de Rham-Witt cohomology. [https://www.ams.org/journals/bproc/2018-05-07/S2330-1511-2018-00038-0/S2330-1511-2018-00038-0.pdf Proceedings of the AMS, Series B, vol. 5, pp. 64-72]; 11/2018.<br />
<br />
* [https://graptismath.net/ G. Raptis], Devissage for Waldhausen K-theory. [https://arxiv.org/abs/1811.09564 arXiv:1811.09564]; 11/2018<br />
<br />
* [https://www.preschema.com A.A. Khan]. Descent by quasi-smooth blow-ups in algebraic K-theory. [https://arxiv.org/abs/1810.12858 arXiv:1810.12858]; 10/2018<br />
<br />
* B. Ammann; N. Große; V Nistor, The strong Legendre condition and the well-posedness of mixed Robin problems on manifolds with bounded geometry. [https://arxiv.org/abs/1810.06926 arXiv:1810.06926 math.AP]; 10/2018<br />
<br />
* [http://federicobambozzi.eu F. Bambozzi], [https://www.math.univ-paris13.fr/~vezzani/ A. Vezzani], Rigidity for rigid analytic motives. [https://arxiv.org/abs/1810.04968 arXiv:1810.04968];10/2018<br />
<br />
* [https://drew-heard.github.io/ D. Heard], G. Li, D. Shi, Picard groups and duality for real Morava E-theories. [https://arxiv.org/abs/1810.05439 arxiv:1810.05439]; 10/2018<br />
<br />
* B. Ammann; N. Ginoux; Some examples of Dirac-harmonic maps [https://arxiv.org/abs/1809.09859 arXiv:1809.09859 math.AP]; 09/2018<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Injectivity results for coarse homology theories. [https://arxiv.org/abs/1809.11079 arXiv:1809.11079 math.KT]; 09/2018<br />
<br />
* E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, M. Yakerson. Framed transfers and motivic fundamental classes. [https://arxiv.org/abs/1809.10666 arXiv:1809.10666]; 09/2018<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Transfers in coarse homology. [https://arxiv.org/abs/1809.08300 arXiv:1809.08300 math.KT]; 09/2018<br />
<br />
* C. L&ouml;h. Cost vs. integral foliated simplicial volume. [https://arxiv.org/abs/1809.09660 arXiv:1809.09660 math.GT]; 09/2018<br />
<br />
* [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang]. A linear independence result for p-adic L-values. [https://arxiv.org/abs/1809.07714 arXiv:1809.07714 math.NT]; 09/2018<br />
<br />
* C. L&ouml;h. Simplicial volume with Fp-coefficients. [https://arxiv.org/abs/1808.09497 arXiv:1808.09497 math.GT]; 08/2018<br />
<br />
* [http://markus-land.de M. Land], G. Tamme. On the K-theory of pullbacks. [http://arxiv.org/abs/1808.05559 arXiv:1808.05559 math.KT]; 08/2018<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz]. On negative algebraic K-groups. [https://eta.impa.br/dl/137.pdf ICM 2018]; 08/2018<br />
<br />
* D. Fauser, [https://friedl.app.uni-regensburg.de/ S. Friedl], C. L&ouml;h. Integral approximation of simplicial volume of graph manifolds. [https://arxiv.org/abs/1807.10522 arXiv:1807.10522 math.GT]; 07/2018<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], JungHwan Park, Bram Petri, Jean Raimbault and Arunima Ray, On distinct finite covers of 3-manifolds. [http://arxiv.org/abs/1807.09861 arXiv:1807.09861]; 07/2018<br />
<br />
*[https://yangenlin.wordpress.com/ E. Yang], Y. Zhao. On the relative twist formula of l-adic sheaves. [https://arxiv.org/abs/1807.06930 arXiv:1807.06930 math.AG]; 07/2018<br />
<br />
* F. Ben Aribi, [https://friedl.app.uni-regensburg.de/ S. Friedl], [http://www.gerhit.de/ G. Herrmann], The leading coefficient of the L^2-Alexander torsion. [http://arxiv.org/abs/1806.10965 arXiv:1806.10965]; 06/2018<br />
<br />
* F. Déglise, F. Jin, [https://www.preschema.com A.A. Khan]. Fundamental classes in motivic homotopy theory. [https://arxiv.org/abs/1805.05920 arXiv:1805.05920]; 05/2018<br />
<br />
* [https://graptismath.net/ G. Raptis], W. Steimle, On the h-cobordism category. I. [https://arxiv.org/abs/1805.04395 arXiv:1805.04395]; 05/2018<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl], K. Yamada. Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary. [https://arxiv.org/abs/1805.04974 arXiv:1805.04974 math.NT]; 05/2018.<br />
<br />
*G. Herrmann, Sutured manifolds and L^2-Betti numbers. [https://arxiv.org/abs/1804.09519 arxiv:1804.09519]; 04/2018<br />
<br />
*H.K. Nguyen, [http://graptismath.net/ G. Raptis], C. Schrade, Adjoint functor theorems for infinity categories. [https://arxiv.org/abs/1803.01664 arxiv:1803.01664]; 03/2018<br />
<br />
*[https://kerz.app.uni-regensburg.de/ M. Kerz], Y. Zhao, Higher ideles and class field theory. [https://arxiv.org/abs/1804.00603 arXiv:1804.00603]; 03/2018<br />
<br />
*[https://www.math.u-psud.fr/~fischler/ S. Fischler], [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], [http://wain.mi.ras.ru/ W. Zudilin], Many odd zeta values are irrational. [https://arxiv.org/abs/1803.08905 arXiv:1803.08905]; 03/2018<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Scarponi, The Maillot-Rössler current and the polylogarithm on abelian schemes. [https://arxiv.org/abs/1803.00833 arXiv:1803.00833]; 03/2018<br />
<br />
* M. Marcinkowski, Aut-invariant word norm on right angled Artin and Coxeter groups. [https://arxiv.org/abs/1803.00294 arXiv:1803.00294]; 03/2018<br />
<br />
* F. Binda, A. Krishna, Rigidity for relative 0-cycles [https://arxiv.org/abs/1802.00165 arXiv:1802.00165]; 2/2018.<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], Infinitely many odd zeta values are irrational. By elementary means. [https://arxiv.org/abs/1802.09410 arXiv:1802.09410]; 02/2018<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], S. Saito, G. Tamme, K-theory of non-archimedean rings I. [http://arxiv.org/abs/1802.09819 arXiv1802.09819 math.KT]; 02/2018<br />
<br />
* [https://www.preschema.com A.A. Khan], D. Rydh. Virtual Cartier divisors and blow-ups. [https://arxiv.org/abs/1802.05702 arXiv:1802.05702]; 2/2018<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], The syntomic realization of the elliptic polylogarithm via the Poincaré bundle. [https://arxiv.org/abs/1802.04999 arXiv:1802.04999]; 02/2018<br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle. [https://arxiv.org/abs/1802.04996 arXiv:1802.04996]; 02/2018<br />
<br />
* [http://federicobambozzi.eu F. Bambozzi], S. Murro, [http://www.pinamonti.it/ N. Pinamonti] Invariant states on Weyl algebras for the action of the symplectic group. [https://arxiv.org/abs/1802.02487 arXiv:1802.02487];02/2018<br />
<br />
* Y. Kezuka, On the p-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of ℚ(√-3). [https://arxiv.org/abs/1605.08245 arXiv:1605.08245 math.NT]; Math. Proc. Camb. Philos. Soc., 164, pp. 67-98, 1/2018 <br />
<br />
*[http://homepages.uni-regensburg.de/~spj54141/ J. Sprang], Real-analytic Eisenstein series via the Poincaré bundle. [https://arxiv.org/abs/1801.05677 arXiv:1801.05677]; 01/2018<br />
<br />
* V. Wanner, Comparison of two notions of subharmonicity on non-archimedean curves. [https://arxiv.org/abs/1801.04713 arXiv: 1801.04713]; 01/2018<br />
<br />
=== 2017 ===<br />
<br />
*[https://gubler.app.uni-regensburg.de/ Gubler, Walter]; Jell, Philipp; [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html Künnemann, Klaus]; Martin, Florent, Continuity of Plurisubharmonic Envelopes in Non-Archimedean Geometry and Test Ideals (with an Appendix by José Ignacio Burgos Gil and Martín Sombra). Annales de l’Institut Fourier 69 (2019), no.5, 2331-2376 [https://aif.centre-mersenne.org/item/AIF_2019__69_5_2331_0/ doi : 10.5802/aif.3296] [https://arxiv.org/abs/1712.00980 arXiv:1712.00980 math.AG]; 12/2017.<br />
<br />
* G. Cortiñas, J. Cuntz, R. Meyer, and G. Tamme, Weak completions, bornologies and rigid cohomology. [http://arxiv.org/abs/1712.08004 arXiv:1712.08004 math.AG]; 12/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Coarse homology theories and finite decomposition complexity. [https://arxiv.org/abs/1712.06932 arXiv:1712.06932 math.KT];12/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, Coarse cohomology theories. [https://arxiv.org/abs/1711.08599 arXiv:1711.08599 math.AT]; 11/2017<br />
<br />
* A. Engel, [http://www.uni-math.gwdg.de/cwulff/ Ch. Wulff] Coronas for properly combable spaces. [https://arxiv.org/abs/1711.06836 arXiv:1711.06836 math.MG]; 11/2017<br />
<br />
* [http://markus-land.de/ M. Land], Reducibility of low dimensional Poincaré duality spaces. [https://arxiv.org/pdf/1711.08179.pdf arXiv:1711.08179]; 11/2017<br />
<br />
* T. Barthel, T. Schlank, N. Stapleton, Chromatic homotopy theory is asymptotically algebraic. [https://arxiv.org/abs/1711.00844 arXiv:1711.00844]; 11/2017<br />
<br />
* P. Jell, [https://www.math.uni-tuebingen.de/user/jora/ J. Rau], K. Shaw Lefschetz (1,1)-theorem in tropical geometry. Epijournal de Géometrie Algébrique, volume 2, article no. 11 (2018)[https://arxiv.org/abs/1711.07900 arXiv:1711.07900];11/2017<br />
<br />
* E. Elmanto, [https://hoyois.app.uni-regensburg.de M. Hoyois], [https://www.preschema.com A.A. Khan], V. Sosnilo, M. Yakerson. Motivic infinite loop spaces.[https://arxiv.org/abs/1711.05248 arXiv:1711.05248]; 11/2017<br />
<br />
* [http://federicobambozzi.eu F. Bambozzi], O.Ben-Bassat, [https://www.maths.ox.ac.uk/people/yakov.kremnitzer K. Kremnizer] Analytic geometry over F_1 and the Fargues-Fontaine curve. [https://arxiv.org/abs/1711.04885 arXiv:1711.04885];11/2017<br />
<br />
* R. Zentner, [http://wwwf.imperial.ac.uk/~ssivek/ S. Sivek], SU(2)-cyclic surgeries and the pillowcase. [http://arxiv.org/abs/1710.01957 arXiv:1710.01957 math.gt];10/2017<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], [http://www.gerhit.de/ G. Herrmann], Torsion in the homology of finite covers of 3-manifolds. [http://arxiv.org/abs/1710.08983 arXiv:1710.0898 [math.gt];10/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], Ch. Winges, Equivariant coarse homotopy theory and coarse algebraic K-homology. [https://arxiv.org/abs/1710.04935 arXiv:1710.04935 math.KT];10/2017<br />
<br />
* K. Bohlen, René Schulz. Quantization on manifolds with an embedded submanifold, [https://arxiv.org/abs/1710.02294 arXiv:1710.02294 math.DG]; 10/2017<br />
<br />
* F. Binda and A. Krishna, Zero cycles with modulus and zero cycles on singular varieties, to appear in Compositio Math, [https://arxiv.org/abs/1512.04847 arXiv:1512.04847v4 [math.AG]]. <br />
<br />
* M. Boileau, [https://friedl.app.uni-regensburg.de/ S. Friedl], Grothendieck rigidity of 3-manifold groups. [http://arxiv.org/abs/1710.02746 arXiv:1710.02746 math.gt];10/2017<br />
<br />
* T. Barthel, M. Hausmann, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], T. Nikolaus, [http://www.nullplug.org/ J. Noel], N. Stapleton, The Balmer spectrum of the equivariant homotopy category of a finite abelian group, [https://arxiv.org/abs/1709.04828 arXiv:1709.04828 math.at]; 10/2017 <br />
<br />
* M. Boileau, [https://friedl.app.uni-regensburg.de/ S. Friedl], The virtual Thurston seminorm of 3-manifolds. [http://arxiv.org/abs/1709.06485 arXiv:1709.06485 math.gt];09/2017<br />
<br />
* A. Conway, [https://friedl.app.uni-regensburg.de/ S. Friedl], [http://www.gerhit.de/ G. Herrmann], Linking forms revisited. [http://arxiv.org/abs/1708.03754 arXiv:1708.03754 math.gt];08/2017<br />
<br />
* G. Cortiñas, J. Cuntz, R. Meyer, and G. Tamme, Nonarchimedean bornologies, cyclic homology and rigid cohomology. [http://arxiv.org/abs/1708.00357 arXiv:1708.00357 math.AG]; 08/2017<br />
<br />
* M. Marcinkowski, [https://www.math.bgu.ac.il/~brandens/ M. Brandenbursky], Topological entropy and quasimorphisms. [https://arxiv.org/abs/1707.06020 arXiv:1707.06020 math.GT]; 07/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, The coarse index class with support. [https://arxiv.org/abs/1706.06959 arXiv:1706.06959 math.DG]; 06/2017<br />
<br />
* P. Jell, Tropical Hodge numbers of non-archimedean curves. Israel Journal of Mathematics 229 (2019), 1-19, no.1, 287-305, [https://link.springer.com/article/10.1007/s11856-018-1799-5 doi: 10.1007/s11856-018-1799-5][https://arxiv.org/abs/1706.05895 arXiv:1706.05895 math.AG]; 06/2017<br />
<br />
* T. Barthel, N. Stapleton, Excellent rings in transchromatic homotopy theory. [https://arxiv.org/abs/1706.00208 arXiv:1706.00208 math.AT]; 06/2017<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel, Coarse assembly maps. [https://arxiv.org/abs/1706.02164 arXiv:1706.02164 math.KT]; 06/2017<br />
<br />
* F. Hebestreit, [http://www.markus-land.de M. Land], W. Lück, O. Randal-Williams. A Vanishing theorem for tautological classes of aspherical manifolds. [https://arxiv.org/pdf/1705.06232.pdf arXiv:1705.06232 math.AT]; 05/2017<br />
<br />
* D.-C. Cisinski, [https://www.preschema.com A.A. Khan]. Brave new motivic homotopy theory II: Homotopy invariant K-theory. [https://arxiv.org/abs/1705.03340 arXiv:1705.03340]; 05/2017<br />
<br />
* [http://graptismath.net/ G. Raptis], [https://www.florianstrunk.de/ F. Strunk]. Model topoi and motivic homotopy theory. [https://arxiv.org/abs/1704.08467 arXiv:1704.08467 math.AT]; 04/2017<br />
<br />
* D. Fauser. Integral foliated simplicial volume and S^1-actions. [http://arxiv.org/abs/1704.08538 arXiv:1704.08538 math.GT]; 04/2017<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], S. Vidussi, On virtual properties of Kaehler groups. [http://arxiv.org/abs/1704.07041 arXiv:1704.07041 math.gt];04/2017<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Gill, S. Tillmann, Linear representations of 3-manifold groups over rings. [http://arxiv.org/abs/1703.06609 arXiv:1703.06609 math.gt];04/2017<br />
<br />
* C. Löh. Explicit l1-efficient cycles and amenable normal subgroups. [http://arxiv.org/abs/arXiv:1704.05345 arXiv:1704.05345 math.GT]; 04/2017<br />
<br />
* C. Löh. Rank gradient vs. stable integral simplicial volume. [http://arxiv.org/abs/arXiv:1704.05222 arXiv:1704.05222 math.GT]; 04/2017<br />
<br />
*S.P. Reeh, T.M. Schlank, N. Stapleton, A formula for p-completion by way of the Segal conjecture. [https://arxiv.org/abs/arxiv:1704.00271 arxiv:1704.00271 math.AT]; 04/2017 <br />
<br />
* F. Binda, Torsion zero cycles with modulus on affine varieties.[https://arxiv.org/abs/1604.06294 arXiv:1604.06294 math.AG], to appear in J. of Pure and App. Algebra. <br />
<br />
* F. Binda, J. Cao, W. Kai and R. Sugiyama, Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus, J. of Algebra, [http://dx.doi.org/10.1016/j.jalgebra.2016.07.036 Vol. 469], 1, 2017. <br />
<br />
*H.K. Nguyen, On the infinite loop space structure of the cobordism category, [https://doi.org/10.2140/agt.2017.17.1021 Algebr. Geom. Topol. Vol. 17 issue 2], 3/2017<br />
<br />
*G. Tamme, Excision in algebraic K-theory revisited. [http://arxiv.org/abs/arXiv:1703.03331 arXiv:1703.03331 math.KT]; 03/2017<br />
<br />
* D. Fauser, C. Löh. Variations on the theme of the uniform boundary condition. [http://arxiv.org/abs/arXiv:1703.01108 arXiv:1703.01108 math.GT]; 03/2017<br />
<br />
* A. Engel, Banach strong Novikov conjecture for polynomially contractible groups. [https://arxiv.org/abs/1702.02269 arXiv:1702.02269 math.KT]; 02/2017<br />
<br />
*[https://www.math.bgu.ac.il/~brandens M.Brandenbursky], M.Marcinkowski. Aut-invariant norms and Aut-invariant quasimorphisms on free and surface groups. [https://arxiv.org/abs/1702.01662 arXiv:1702.01662 math.GT]; 02/2017<br />
<br />
*N. Umezaki, [https://yangenlin.wordpress.com/ E. Yang], Y. Zhao. Characteristic class and the &epsilon;-factor of an étale sheaf. [https://arxiv.org/abs/1701.02841 arXiv:1701.02841 math.AG]; 01/2017<br />
<br />
=== 2016 ===<br />
<br />
*M. Lüders, On a base change conjecture for higher zero-cycles. [https://arxiv.org/abs/1612.04635 arXiv:1612.04635 math.AG]; 12/2016<br />
<br />
* P. Jell, V. Wanner. Poincaré duality for the real-valued de Rham cohomology of non-archimedean Mumford curves. Journal of Number Theory 187 (2018), 344-371 [https://doi.org/10.1016/j.jnt.2017.11.004 doi:10.1016/j.jnt.2017.11.004] [https://arxiv.org/abs/1612.01889 arXiv:1612.01889 math.AG]; 12/2016<br />
<br />
* U. Jannsen, [http://www.lcv.ne.jp/~smaki/en/index.html S. Saito], Y. Zhao. Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields. [https://arxiv.org/abs/1611.08720 arXiv:1611.08720 math.AG]; 11/2016<br />
<br />
* Y. Zhao. Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes. [https://arxiv.org/abs/1611.08722 arXiv:1611.08722 math.AG]; 11/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; M. Nagel, P. Orson, M. Powell, Satellites and concordance of knots in 3-manifold [http://arxiv.org/abs/1611.09114 arXiv:1611.09114 math.GT]; 11/2016<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], [https://www.florianstrunk.de/ F. Strunk], G. Tamme. Algebraic K-theory and descent for blow-ups. [http://arxiv.org/abs/1611.08466 arXiv:1611.08466 math.KT]; 11/2016<br />
<br />
* N. Otoba; J. Petean, Solutions of the Yamabe equation on harmonic Riemannian submersions, [https://arxiv.org/abs/1611.06709 arXiv:1611.06709 math.DG]; 11/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; W. Lueck, S. Tillmann, Groups and polytopes [http://arxiv.org/abs/1611.01857 arXiv:1611.01857 math.GT]; 11/2016<br />
<br />
* B. Ammann; N. Große; V Nistor, Well-posedness of the Laplacian on manifolds with boundary and bounded geometry [http://arxiv.org/abs/1611.00281 arXiv:1611.00281 math.AP]; 11/2016<br />
<br />
* A. Engel, M. Marcinkowski, Burghelea conjecture and asymptotic dimension of groups, [https://arxiv.org/abs/1610.10076 arXiv:1610.10076 math.GT]; 11/2016.<br />
<br />
* S. Baader, P. Feller, L. Lewark, R. Zentner, Khovanov width and dealternation number of positive braid links, [http://arxiv.org/abs/1610.04534 arXiv:1605.04534 math.GT]; 10/2016<br />
<br />
* M. Heusener, R. Zentner, A new algorithm for 3-sphere recognition, [http://arxiv.org/abs/1610.04092 arXiv:1605.04092 math.GT]; 10/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; M. Heusener. On high-dimensional representations of knot groups [http://arxiv.org/abs/1610.04414 arXiv:1610.04414 math.GT]; 10/2016<br />
<br />
* O. Müller, Applying the index theorem to non-smooth operators, [https://arxiv.org/abs/1506.04636 arXiv:1506.04636 math.AP]; 10/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; W. Lueck. L2-Euler characteristics and the Thurston norm [http://arxiv.org/abs/1609.07805 arXiv:1609.07805 math.GT]; 09/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]; W. Lueck. Universal L2-torsion, polytopes and applications to 3-manifolds. [http://arxiv.org/abs/1609.07809 arXiv:1609.07809 math.GT]; 09/2016<br />
<br />
* A. Conway; [https://friedl.app.uni-regensburg.de/ S. Friedl]; E. Toffoli, The Blanchfield pairing of colored links. [http://arxiv.org/abs/1609.08057 arXiv:1609.08057 math.GT]; 09/2016<br />
<br />
*[https://www.icmat.es/miembros/burgos/index.html Burgos Gil, José Ignacio]; [https://gubler.app.uni-regensburg.de/ Gubler, Walter]; Jell, Philipp; [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html Künnemann, Klaus]; Martin, Florent, Differentiability of non-archimedean volumes and non-archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld). Algebraic Geometry 7 (2) (2020) 113-152 [http://content.algebraicgeometry.nl/2020-2/2020-2-005.pdf doi:10.14231/AG-2020-005] [https://arxiv.org/abs/1608.01919 arXiv:1608.01919 math.AG]; 08/2016.<br />
<br />
* [https://gubler.app.uni-regensburg.de/ Gubler, Walter]; Martin, Florent, On Zhang's semipositive metrics. [https://arxiv.org/abs/1608.08030 arXiv:1608.08030]; 08/2016<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], S. Saito, G. Tamme. Towards a non-archimedean analytic analog of the Bass-Quillen conjecture. [https://arxiv.org/abs/1608.00703 arXiv:1608.00703 math.AG]; 08/2016<br />
<br />
* O. Müller, A proof of Thorne's Hoop Conjecture for Einstein-Maxwell Theory, [https://arxiv.org/abs/1607.05036 arXiv:1607.05036 math.DG]; 08/2016<br />
<br />
* [https://homepages.uni-regensburg.de/~erv10962/ V. Ertl]. Full faithfulness for overconvergent F-de Rham-Witt connections. [https://arxiv.org/abs/1411.7182 arXiv:1411.7182 math.NT]; Comptes rendus - Mathématique vol. 354, no. 7, pp. 653-658, 07/2016.<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], A. Engel. Homotopy theory with bornological coarse spaces. [https://arxiv.org/abs/1607.03657 arXiv:1607.03657 math.AT]; 07/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl]. Novikov homology and noncommutative Alexander polynomials. [http://arxiv.org/pdf/arXiv:1606.03587.pdf arXiv:1606.03587 math.GT]; 06/2016<br />
<br />
* A. Mathew, [http://dtclausen.tumblr.com/ Dustin Clausen], [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] Descent in algebraic K-theory and a conjecture of Ausoni-Rognes. [https://arxiv.org/abs/1606.03328 arxiv:1606.03328 math.AT]. <br />
<br />
* R. Zentner, Integer homology 3-spheres admit irreducible representations in SL(2,C), [http://arxiv.org/abs/1605.08530 arXiv:1605.08530 math.GT]; 05/2016<br />
<br />
* D. Fauser, C. Löh, Exotic finite functorial semi-norms on singular homology. [http://arxiv.org/abs/arXiv:1605.04093 arXiv:1605.04093 math.GT]; 05/2016<br />
<br />
* [https://math.uoregon.edu/profile/botvinn B. Botvinnik], O. Müller, Cheeger-Gromov convergence in a conformal setting, [https://arxiv.org/abs/1512.07651 arXiv:1512.07651 math.DG]; 04/2016<br />
<br />
* [http://www.gerrit-herrmann.de/#top G. Herrmann], The $L^2$-Alexander torsion for Seifert fiber spaces. [http://arxiv.org/pdf/arXiv:1602.08768.pdf arXiv:1602.08768 math.GT]; 02/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], S. Vidussi. Rank gradients of infinite cyclic covers of Kaehler manifolds. [http://arxiv.org/pdf/arXiv:1604.08267.pdf arXiv:1604.08267 math.GT]; 04/2016<br />
<br />
* J. Lind, C. Malkiewich. The transfer map of free loop spaces [http://arxiv.org/abs/1604.03067 arXiv:1604.03067 math.AT]; 04/2016<br />
<br />
* P. Graf. Polylogarithms for $GL_2$ over totally real fields. [http://arxiv.org/pdf/1604.04209.pdf arXiv:1604.04209 math.NT]; 04/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, M. Nagel. Representation varieties detect essential surfaces. [http://arxiv.org/pdf/arXiv:1604.00584.pdf arXiv:1604.00584 math.GT]; 04/2016<br />
<br />
* D. Scarponi, Sparsity of p-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer. [https://arxiv.org/abs/1602.08755v3 arXiv:1602.08755v3]; 02/2016<br />
<br />
* O. Gwilliam, [https://dmitripavlov.org/ D. Pavlov]. Enhancing the filtered derived category. [https://arxiv.org/abs/1602.01515 arXiv:1602.01515], accepted by J. Pure Appl. Algebra; 02/2016<br />
<br />
* [https://www.mathi.uni-heidelberg.de/people/personeninfo.html?uid=jschmidt J. Schmidt], [https://www.florianstrunk.de/ F. Strunk]. On the shifted stable A1-connectivity property. [http://arxiv.org/abs/1602.08356 arXiv:1602.08356 math.AG]; 02/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl],M. Boileau. Epimorphisms of 3-manifold groups. [http://arxiv.org/pdf/arXiv:1602.06779.pdf arXiv:1602.06779 math.GT]; 02/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl],[http://math.wisc.edu/~maxim L. Maxim]. Twisted Novikov homology of complex hypersurface complements. [http://arxiv.org/pdf/arXiv:1602.04943.pdf arXiv:1602.04943 math.AT]; 02/2016<br />
<br />
* [http://federicobambozzi.eu F. Bambozzi]. Theorems A and B for dagger quasi-Stein spaces. [http://arxiv.org/pdf/1602.04388.pdf arXiv:1602.04388 math.AG]; 02/2016<br />
<br />
* T. Fiore and M. Pieper. Waldhausen Additivity: Classical and Quasicategorical. [http://arxiv.org/abs/1207.6613 arXiv:1207.6613v2 math.AT]; 02/2016<br />
<br />
* A. Engel. Wrong way maps in uniformly finite homology and homology of groups. [http://arxiv.org/abs/1602.03374 arXiv:1602.03374 math.GT]; 02/2016<br />
<br />
* M. Pilca. Toric Vaisman Manifolds. [https://arxiv.org/abs/1512.00876 arXiv:1512.00876 math.DG]; 01/2016<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], C. Leidy, M. Nagel, M. Powell. Twisted Blanchfield pairings and decompositions of 3-manifolds. [http://arxiv.org/pdf/arXiv:arXiv:1602.00140.pdf arXiv:1602.00140 math.GT]; 01/2016<br />
<br />
* O. Raventós. Transfinite Adams representability. [http://arxiv.org/abs/1304.3599 arXiv:1304.3599]; new version 02/2016<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz], [https://www.florianstrunk.de/ F. Strunk]. On the vanishing of negative homotopy K-theory [http://arxiv.org/abs/1601.08075 arXiv:1601.08075 math.AG]; 01/2016<br />
<br />
* J. Lind, H. Sati, [http://math.umn.edu/~cwesterl/ C. Westerland]. A higher categorical analogue of topological T-duality for sphere bundles [http://arxiv.org/abs/1601.06285 arXiv:1601.06285 math.AT]; 01/2016<br />
<br />
* F. Madani, [http://moroianu.perso.math.cnrs.fr/ A. Moroianu], M. Pilca. Conformally related Kähler metrics and the holonomy of lcK manifolds [https://arxiv.org/abs/1511.09212 arXiv: 1511.09212 math.DG]; 01/2016<br />
<br />
=== 2015 ===<br />
<br />
* D. Scarponi, The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne-Beilinson cohomology. [https://arxiv.org/abs/1512.01997 arXiv:1512.01997]; 12/2015<br />
<br />
* [http://www.math.ens.fr/~amini/ O. Amini], [http://www.math.uchicago.edu/~bloch/ S. Bloch], [http://www.icmat.es/miembros/burgos/ J. I. Burgos Gil], J. Fresán. Feynman Amplitudes and Limits of Heights [http://arxiv.org/pdf/1512.04862.pdf arXiv:1512.04862 math.AG]; 12/2015<br />
<br />
* P. Jell, K. Shaw, J. Smacka. Superforms, Tropical Cohomology and Poincaré Duality [https://doi.org/10.1515/advgeom-2018-0006 doi:10.1515/advgeom-2018-0006] [http://arxiv.org/pdf/1512.07409v1.pdf arXiv:1512.07409 math.AG]; 12/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], C. Livingston, R. Zentner. Knot concordances and alternating knots. [http://arxiv.org/pdf/arXiv:1512.08414.pdf arXiv:1512.08414 math.GT]; 12/2015<br />
<br />
* B. Ammann; Klaus Kröncke, Hartmut Weiß, Frederik Witt. Holonomy rigidity for Ricci-flat metrics, [http://arxiv.org/abs/1512.07390 arXiv:1512.07390 math.DG]; 12/2015<br />
<br />
* [http://gt.postech.ac.kr/~jccha/ J. C. Cha], [https://friedl.app.uni-regensburg.de/ S. Friedl], F. Funke. The Grothendieck group of polytopes and norms. [http://arxiv.org/pdf/arXiv:1512.06699.pdf arXiv:1512.06699 math.GT]; 12/2015<br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], J. Hertel. Local heights of toric varieties over non-archimedean fields [https://arxiv.org/pdf/1512.06574.pdf arXiv1512.06574 math.NT]; 12/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Powell. The presentation of the Blanchfield pairing of a knot via a Seifert matrix. [http://arxiv.org/pdf/arXiv:1512.04603.pdf arXiv:1512.04603 math.GT]; 12/2015<br />
<br />
*F. Bambozzi, O. Ben-Bassat, K. Kremnizer . Stein Domains in Banach Algebraic Geometry. [http://arxiv.org/pdf/1511.09045.pdf arxiv:1511.09045 math.AG]; 11/2015<br />
<br />
*Y. Wu. On the p-adic local invariant cycle theorem. [http://arxiv.org/pdf/1511.08323.pdf arxiv:1511.08323 math.AG]; 11/2015<br />
<br />
*J. Scholbach, [https://dmitripavlov.org/ D. Pavlov]. Homotopy theory of symmetric powers. [https://arxiv.org/abs/1510.04969 arXiv:1510.04969]; 10/2015<br />
<br />
* F. Martin; Analytic functions on tubes of non-Archimedean analytic spaces, with an appendix by Christian Kappen [http://arxiv.org/abs/1510.01178 arXiv:1510.01178]; 10/2015<br />
<br />
*[https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings]. On p-adic interpolation of motivic Eisenstein classes. [http://arxiv.org/pdf/1510.01466.pdf arxiv:1505.01466 math.NT]; 10/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. The L^2-torsion function and the Thurston norm of 3-manifolds. [http://arxiv.org/pdf/1510.00264.pdf arXiv:1510.00264 math.GT]; 10/2015<br />
<br />
* O. Müller, N. Nowaczyk, A universal spinor bundle and the Einstein-Dirac-Maxwell equation as a variational theory, [https://arxiv.org/abs/1504.01034 arXiv:1504.01034 math.DG]; 10/2015<br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], [http://www.uni-regensburg.de/mathematics/mathematics-kuennemann/ K. Künnemann]. Positivity properties of metrics and delta-forms. [http://arxiv.org/abs/1509.09079 arXiv:150909079 math.AG]; 09/2015<br />
<br />
* [https://bunke.app.uni-regensburg.de U. Bunke], T. Nikolaus, G. Tamme. The Beilinson regulator is a map of ring spectra [http://arxiv.org/abs/1509.05667 arXiv:1509.05667 math.AG]; 09/2015<br />
<br />
* C. Löh. Odd manifolds of small integral simplicial volume [http://arxiv.org/abs/1509.00204 arXiv:1509.00204 math.GT]; 09/2015<br />
<br />
* P. Feller, S. Pohlmann, R. Zentner, Alternating numbers of torus knots with small braid index, [http://arxiv.org/abs/1508.05825 arXiv:1508.05825]; 08/2015<br />
<br />
* I. Barnea, [http://wwwmath.uni-muenster.de/u/joachim/ M. Joachim], S. Mahanta. Model structure on projective systems of C*-algebras and bivariant homology theories. [http://arxiv.org/abs/1508.04283 math.KT]; 08/2015<br />
<br />
* C. Löh, C. Pagliantini, S. Waeber. Cubical simplicial volume of 3-manifolds. [http://arxiv.org/abs/1508.03017 arXiv:1508.03017 math.GT]; 08/2015<br />
<br />
* B. Ammann, F. Madani, M. Pilca. The S^1-equivariant Yamabe invariant of 3-manifolds [http://arxiv.org/abs/1508.02727 arxiv:1508.02727 math.DG]; 08/2015<br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], J. Rabinoff, [https://www.uni-frankfurt.de/50278019/Werner A. Werner] Tropical Skeletons [https://arxiv.org/pdf/1508.01179.pdf arXiv:1508.01179 math.AG]; 08/2015<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. On infinitesimal Einstein deformations [https://arxiv.org/abs/1508.00721 arXiv:1508.00721 math.DG]; 08/2015<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. On the stability of Einstein manifolds [https://arxiv.org/abs/1311.6749 arXiv:1311.6749 math.DG]; 08/2015<br />
<br />
* F. Bambozzi. Closed graph theorems for bornological spaces. [http://arxiv.org/abs/1508.01563 arXiv:1508.01563 math.FA]; 08/2015<br />
<br />
* A. Mathew, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] Nilpotence and descent in equivariant stable homotopy theory. [http://www.sciencedirect.com/science/article/pii/S0001870815300062 Advances in Mathematics]. <br />
<br />
* A. Mathew, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] Derived induction and restriction theory. [http://arxiv.org/abs/1507.06867 arxiv:1507.06867 math.AT].<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Stable and unstable Einstein warped products [https://arxiv.org/abs/1507.01782 arXiv:1507.01782 math.DG]; 07/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], K. Schreve, S. Tillmann. Thurston norm via Fox calculus. [http://de.arxiv.org/pdf/1507.05660.pdf arXiv:1507.05660 math.GT]; 07/2015<br />
<br />
* X. Shen; Perfectoid Shimura varieties of abelian type [http://arxiv.org/abs/1507.01824 arXiv:1507.01824 math.NT]; 07/2015<br />
<br />
* R. Nakad, M. Pilca. Eigenvalue Estimates of the spin^c Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds. [https://arxiv.org/abs/1502.05252 arXiv:1502.05252 math.DG]; 07/2015<br />
<br />
* [http://www.mathematik.uni-muenchen.de/~dieter/ D. Kotschick], C. L&ouml;h, [https://www2.math.binghamton.edu/p/people/chrisneo/start C. Neofytidis]. On stability of non-domination under taking products. [http://arxiv.org/abs/1507.01413 arXiv:1507.01413 math.GT]; 07/2015<br />
<br />
* R. Frigerio, C. L&ouml;h, C. Pagliantini, [http://topology.math.kit.edu/english/21_53.php R. Sauer]. Integral foliated simplicial volume of aspherical manifolds. [http://arxiv.org/abs/1506.05567 arXiv:1506.05567 math.GT]; 06/2015<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Stability and instability of Ricci solitions [https://arxiv.org/abs/1403.3721 arXiv:1403.3721 math.DG]; 06/2015<br />
<br />
* [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Rigidity and infinitesimal deformability of Ricci solitions [https://arxiv.org/abs/1408.6751 arXiv:1408.6751 math.DG]; 06/2015<br />
<br />
* O. Raventós. The hammock localization preserves homotopies. [http://arxiv.org/abs/1404.7354 arXiv:1404.7354]; new version 05/2015<br />
<br />
* M. Boileau, [https://friedl.app.uni-regensburg.de/ S. Friedl]. The profinite completion of $3$-manifold groups, fiberedness and the Thurston norm. [http://arxiv.org/pdf/arXiv:1505.07799 arXiv:1505.07799 math.GT]; 05/2015<br />
<br />
* S. Wang. Le système d'Euler de Kato en famille (II) [http://arxiv.org/abs/1312.6428 arXiv:1312.6428 math.NT]; new version 05/2015<br />
<br />
* A. Huber, [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings]. Polylogarithm for families of commutative group schemes [http://arxiv.org/pdf/1505.04574.pdf arxiv:1505.04574 math.AG]; 05/2015<br />
<br />
* M. Blank; Relative Bounded Cohomology for Groupoids [http://arxiv.org/abs/1505.05126 arXiv:1505.05126 math.AT]; 05/2015<br />
<br />
* A. Engel. Rough index theory on spaces of polynomial growth and contractibility. [http://arxiv.org/abs/1505.03988 arXiv:1505.03988 math.DG]; 05/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], T. Kitayama, M. Nagel. A note on the existence of essential tribranched surfaces. [http://arxiv.org/pdf/arXiv:1505.01806 arXiv:arXiv:1505.01806 math.GT]; 05/2015<br />
<br />
* [http://mate.dm.uba.ar/~ghenry/index.html G. Henry]. Second Yamabe constant on Riemannian products. [http://arxiv.org/abs/1505.00981 arXiv:1505.00981 math.DG]; 05/2015<br />
<br />
* C. L&ouml;h. A note on bounded-cohomological dimension of discrete groups. [http://arxiv.org/abs/1504.05760 arXiv:1504.05760 math.GR]; 04/2015<br />
<br />
* [http://homepage.univie.ac.at/david.fajman/ D. Fajman], [https://www.math.uni-hamburg.de/home/kroencke/ K. Kröncke]. Stable fixed points of the Einstein flow with positive cosmological constant [https://arxiv.org/abs/1504.00687 arXiv:1504.00687 math.DG]; 04/2015<br />
<br />
* S. Mahanta. Algebraic K-theory, K-regularity, and T-duality of O<sub>&infin;</sub>-stable C*-algebras. [http://arxiv.org/abs/1311.4720 arXiv:1311.4720 math.KT]; new version 04/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel. Twisted Reidemeister torsion and the Thurston norm: graph manifolds and finite representations. [http://arxiv.org/pdf/1503.07251 arXiv:1503.07251 math.GT]; 03/2015<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz]. A restriction isomorphism for cycles of relative dimension zero. [http://arxiv.org/abs/1503.08187 arXiv 1503.08187 math.AG]; 03/2015<br />
<br />
* M. Nagel, B. Owens. Unlinking information from 4-manifolds. [http://arxiv.org/abs/1503.03092 arXiv 1503.03092 math.GT]; 03/2015<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Loeffler, S. Zerbes. Rankin--Eisenstein classes and explicit reciprocity laws. [http://arxiv.org/pdf/1503.02888.pdf arxiv:1503.02888 math.NT]; 03/2015<br />
<br />
* B. Ammann, N. Große. Relations between threshold constants for Yamabe type bordism invariants. [http://arxiv.org/abs/1502.05232 arxiv:1502.05232 math.DG]; 02/2015<br />
<br />
* R. Cluckers, F. Martin. A definable, p-adic analogue of Kiszbraun’s Theorem on extensions of Lipschitz maps. [http://arxiv.org/abs/1502.03036 arxiv:1502.03036 math.AG]; 02/2015<br />
<br />
* S. Mahanta. Symmetric monoidal noncommutative spectra, strongly self-absorbing C*-algebras, and bivariant homology. [http://arxiv.org/abs/1403.4130 arXiv:1403.4130 math.KT]; new version 02/2015<br />
<br />
* A. Engel. Index theory of uniform pseudodifferential operators. [http://arxiv.org/abs/1502.00494 arXiv:1502.00494 math.DG]; 02/2015<br />
<br />
* [https://kerz.app.uni-regensburg.de/ M. Kerz]. Transfinite limits in topos theory. [http://arxiv.org/abs/1502.01923 arXiv:1502.01923 math.CT]; 02/2015<br />
<br />
* F. Bambozzi, O. Ben-Bassat. Dagger Geometry As Banach Algebraic Geometry. [http://arxiv.org/abs/1502.01401v1 arXiv:1502.01401v1 math.AG]; 02/2015<br />
<br />
* S. Mahanta. C*-algebraic drawings of dendroidal sets. [http://arxiv.org/abs/1501.05799 arXiv:1501.05799 math.OA]; 01/2015<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], S. Tillmann. Two-generator one-relator groups and marked polytopes. [http://arxiv.org/pdf/1501.03489v1.pdf arXiv:1501.03489 math.GR]; 01/2015<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Loeffler, S. Zerbes. Rankin-Eisenstein classes for modular forms. [http://arxiv.org/pdf/1501.03289.pdf arxiv:1501.03289 math.NT]; 01/2015<br />
<br />
* R. Zentner. A class of knots with simple SU(2) representations. [http://arxiv.org/pdf/1501.02504.pdf arXiv:1501.02504 math.GT]; 01/2015<br />
<br />
* J. Lind, V. Angeltveit. Uniqueness of BP<n>. [http://arxiv.org/pdf/1501.01448.pdf arXiv:1501.01448 math.AT]; 01/2015<br />
<br />
* S. Mahanta. Colocalizations of noncommutative spectra and bootstrap categories. [http://arxiv.org/abs/1412.8370 arXiv:1412.8370 math.KT]; new version 01/2015<br />
<br />
=== 2014 ===<br />
<br />
* V. Diekert, F. Martin, [http://dept-info.labri.fr/~ges/ G. Sénizergues], [http://cmup.fc.up.pt/cmup/pvsilva/ P. V. Silva]: Equations over free inverse monoids with idempotent variables. [http://arxiv.org/abs/1412.4737 arxiv:1412.4737 cs.LO]; 12/2014<br />
<br />
* Harju A.J: Quantum Orbifolds. [http://arxiv.org/pdf/1412.4589v1.pdf arXiv:1412.4589 math.QA]; 12/2014<br />
<br />
* Harju A.J.: On Noncommutative Geometry of Orbifolds. [http://arxiv.org/pdf/1405.7139v4.pdf arXiv:1405.7139 math.DG]; 12/2014 (revision)<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel. 3-manifolds that can be made acyclic. [http://arxiv.org/pdf/1412.4280 arXiv:1412.4280 math.GT]; 12/2014<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Roessler. Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes. [http://arxiv.org/pdf/1412.2925v1.pdf arXiv:1412:2925 math.AG]; 12/2014<br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], D. Silver, S. Wiliams. The Turaev and Thurston norms. [http://arxiv.org/pdf/1412.2406.pdf arXiv:1412.2406 math.GT]; 12/2014<br />
<br />
* [http://www.math.uni-hamburg.de/home/belgun/ F. Belgun] Geodesics and Submanifold Structures in Conformal Geometry. [https://arxiv.org/abs/1411.4404 arXiv:1411.4404 math.DG]; 11/2014 <br />
<br />
* J. Dubois, [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. The L^2-Alexander torsion is symmetric. [http://arxiv.org/pdf/1411.2292.pdf arXiv:1411.2292 math.GT]; 11/2014<br />
<br />
* X. Shen. On the cohomology of some simple Shimura varieties with bad reduction. [http://arxiv.org/pdf/1411.0245v1.pdf arXiv:1411.0245 math.NT]; 11/2014<br />
<br />
* X. Shen. On the l-adic cohomology of some p-adically uniformized Shimura varieties. [http://arxiv.org/pdf/1411.0244v1.pdf arXiv:1411.0244 math.NT]; 11/2014<br />
<br />
* F. Martin. Overconvergent subanalytic subsets in the framework of Berkovich spaces [https://arxiv.org/abs/1211.6684 arXiv:1211.6684]; 10/2014<br />
<br />
* J. Dubois, [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. Three flavors of twisted invariants of knots. [http://arxiv.org/pdf/1410.6924.pdf arXiv:1410.6924 math.GT]; 10/2014<br />
<br />
* J. Dubois, [https://friedl.app.uni-regensburg.de/ S. Friedl], W. Lueck. The L^2-Alexander torsion of 3-manifolds. [http://arxiv.org/pdf/1410.6918.pdf arXiv:1410.6918 math.GT]; 10/2014<br />
<br />
* A. Beilinson, [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], A. Levin. Topological polylogarithms and p-adic interpolation of L-values of totally real fields. [http://arxiv.org/pdf/1410.4741v1.pdf arXiv:1410:4741 math.NT]; 10/2014<br />
<br />
* M. Nagel. Minimal genus in circle bundles over 3-manifolds. [http://arxiv.org/pdf/1410.4018.pdf arXiv 1410.4018 math.GT]; 10/2014<br />
<br />
* [http://www.nullplug.org/ J. Noel] Nilpotence in the symplectic bordism ring. [http://arxiv.org/abs/1410.3847 arxiv 1410.3847 math.AT] To appear Cont. Mathematics. <br />
<br />
* [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Nagel, M. Powell. A specious unlinking strategy. [http://arxiv.org/pdf/1410.2052.pdf arXiv:1410.2052 math.GT]; 10/2014<br />
<br />
* [http://www.mimuw.edu.pl/~mcboro/ M. Borodzik], [https://friedl.app.uni-regensburg.de/ S. Friedl], M. Powell. Blanchfield forms and Gordian distance [http://arxiv.org/pdf/1409.8421.pdf arXiv:1409.8421 math.GT]; 09/2014<br />
<br />
* [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://homepages.uni-regensburg.de/~spj54141/ J. Sprang]. p-adic interpolation and multiplicative orientations of KO and tmf. [http://arxiv.org/pdf/1409.5314v1.pdf arXiv:1409.5314 math.AT]; 09/2014<br />
<br />
* P. Jell. A Poincaré lemma for real valued differential forms on Berkovich spaces. [http://arxiv.org/abs/1409.0676 arXiv:1409:0676 math.AG]; 09/2014 [http://link.springer.com/article/10.1007%2Fs00209-015-1583-8 Publication at Mathematische Zeitschrift DOI: 10.1007/s00209-015-1583-8] 11/15<br />
<br />
* R. Scheider. The de Rham realization of the elliptic polylogarithm in families. [http://arxiv.org/abs/1408.3819 arXiv:1408.3819 math.AG]; 08/2014<br />
<br />
* G. Tamme. On an analytic version of Lazard's isomorphism. [http://arxiv.org/abs/1408.4301 arXiv:1408.4301 math.NT]; 08/2014<br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], [http://www.uni-regensburg.de/mathematics/mathematics-kuennemann/ K. Künnemann]. A tropical approach to non-archimedean Arakelov theory. [http://arxiv.org/abs/1406.7637 arXiv:1406.7637 math.AG]; 06/2014<br />
<br />
* [https://www.uni-regensburg.de/mathematik/mathematik-kings/startseite/index.html G. Kings], D. Loeffler, S. Zerbes. Rankin-Selberg Eulersystems and p-adic interpolation. [http://arxiv.org/pdf/1405.3079.pdf arxiv:1405.3079 math.NT]; 05/2014<br />
<br />
* A. Mathew, [http://homepages.uni-regensburg.de/~nan25776/ N. Naumann], [http://www.nullplug.org/ J. Noel] On a nilpotence conjecture of J.P. May. [http://arxiv.org/abs/1403.2023 arxiv:1403.2023 math.AT]; Journal of Topology, 12/2015. <br />
<br />
* [https://gubler.app.uni-regensburg.de/ W. Gubler], J. Rabinoff, [https://www.uni-frankfurt.de/50278019/Werner A. Werner] Skeletons and tropicalizations. [https://arxiv.org/pdf/1404.7044v3.pdf arXiv:1404.7044 math.AG]; 04/2014<br />
<br />
* C. Löh. Finite functorial semi-norms and representability. [http://arxiv.org/abs/1404.6557 arXiv:1404.6557 math.AT]; 04/2014</div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2384Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-17T15:26:22Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenlees 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Break||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||SFB Lecture||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø||Kabeer Manali Rahul<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod p homotopy type of classifying spaces <br />
'''<br />
<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield p-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod p cohomology only depends on the p-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod p homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a p-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra from equivariant homotopy.'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
The mapping of topics to lectures is unlikely to be precise, but the sequence is<br />
# Torsion modules, complete modules<br />
# The Balmer spectrum of rational G-spectra<br />
# Adelic models of tensor triangulated categories<br />
<br />
References: <br />
#J.P.C. Greenlees and JP May “Derived functors of I-adic completion and local homology” Journal of Algebra 149 (1992) 438–453.<br />
#W.G.Dwyer and J.P.C.Greenlees “Complete modules and torsion modules.” American J. Math. 124 (2002) 199-220<br />
#J.P.C. Greenlees “The Balmer spectrum for rational equivariant cohomology theories” JPAA 223 (2019) 2845-2871 arXiv: 1706.07868<br />
#S.Balchin and J.P.C. Greenlees “Adelic models for tensor triangulated categories” Adv. Math. 375 (2020), 107339, 30pp, arXiv: 1903.02669<br />
#S. Balchin and J.P.C. Greenlees “Separated and complete adelic models for 1-dimensional tensor triangulated categories” JPAA 226 (2022) 107109, 42pp, arXiv: 2106.09156<br />
#J.P.C. Greenlees “Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence.” JPAA 227 (2023) 107300, 31pp, arXiv:2110.00268<br />
#S.Balchin, T.Barthel and J.P.C.Greenlees “Balmer spectra and Priestley spaces” Submitted for publication, 61pp arXiv 2311.18808<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by N_\infty-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the p-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable A^1-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view. In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
''' Marc Gregoire -- A higher Mackey functor description of algebras over an N_infty-operad '''<br />
<br />
N_infty-operads are an equivariant analogue of E_infty-operads and encode norms in addition to the classical commutative operations<br />
encoded by an E_infty-operad. Every N∞-operad can be associated with a G-indexing system I, leading to a notion of (higher) I-Mackey functors.<br />
In this talk, I will explain the construction of an equivalence between the infty-category of algebras over an N_infty-operad O and the corresponding ∞-category of Mackey functors. <br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - o-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
The conference picture will be taken on Wednesday the 27th during the morning coffee break in front of the Mathematics building (stairs).<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2382Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-11T12:19:21Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenlees 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Break||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||SFB Lecture||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø||Kabeer Manali Rahul<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod p homotopy type of classifying spaces <br />
'''<br />
<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield p-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod p cohomology only depends on the p-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod p homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a p-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra from equivariant homotopy.'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
The mapping of topics to lectures is unlikely to be precise, but the sequence is<br />
# Torsion modules, complete modules<br />
# The Balmer spectrum of rational G-spectra<br />
# Adelic models of tensor triangulated categories<br />
<br />
References: <br />
#J.P.C. Greenlees and JP May “Derived functors of I-adic completion and local homology” Journal of Algebra 149 (1992) 438–453.<br />
#W.G.Dwyer and J.P.C.Greenlees “Complete modules and torsion modules.” American J. Math. 124 (2002) 199-220<br />
#J.P.C. Greenlees “The Balmer spectrum for rational equivariant cohomology theories” JPAA 223 (2019) 2845-2871 arXiv: 1706.07868<br />
#S.Balchin and J.P.C. Greenlees “Adelic models for tensor triangulated categories” Adv. Math. 375 (2020), 107339, 30pp, arXiv: 1903.02669<br />
#S. Balchin and J.P.C. Greenlees “Separated and complete adelic models for 1-dimensional tensor triangulated categories” JPAA 226 (2022) 107109, 42pp, arXiv: 2106.09156<br />
#J.P.C. Greenlees “Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence.” JPAA 227 (2023) 107300, 31pp, arXiv:2110.00268<br />
#S.Balchin, T.Barthel and J.P.C.Greenlees “Balmer spectra and Priestley spaces” Submitted for publication, 61pp arXiv 2311.18808<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by N_\infty-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the p-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable A^1-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view. In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - o-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
The conference picture will be taken on Wednesday the 27th during the morning coffee break in front of the Mathematics building (stairs).<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2381Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-11T12:17:16Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenlees 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Break||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||SFB Lecture||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø||Kabeer Manali Rahul<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra from equivariant homotopy.'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
The mapping of topics to lectures is unlikely to be precise, but the sequence is<br />
# Torsion modules, complete modules<br />
# The Balmer spectrum of rational G-spectra<br />
# Adelic models of tensor triangulated categories<br />
<br />
References: <br />
#JPCGreenlees and JP May “Derived functors of I-adic completion and local homology” Journal of Algebra 149 (1992) 438–453.<br />
#W.G.Dwyer and J.P.C.Greenlees “Complete modules and torsion modules.” American J. Math. 124 (2002) 199-220<br />
#J.P.C.Greenlees “The Balmer spectrum for rational equivariant cohomology theories” JPAA 223 (2019) 2845-2871 arXiv: 1706.07868<br />
#S.Balchin and J.P.C.Greenlees “Adelic models for tensor triangulated categories” Adv. Math. 375 (2020), 107339, 30pp, arXiv: 1903.02669<br />
#S. Balchin and J.P.C.Greenlees “Separated and complete adelic models for 1-dimensional ten- sor triangulated categories” JPAA 226 (2022) 107109, 42pp, arXiv: 2106.09156<br />
#J.P.C.Greenlees “Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence.” JPAA 227 (2023) 107300, 31pp, arXiv:2110.00268<br />
#S.Balchin, T.Barthel and J.P.C.Greenlees “Balmer spectra and Priestley spaces” Submitted for publication, 61pp arXiv 2311.18808<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the $p$-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable $A^1$-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view. In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - $o$-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
The conference picture will be taken on Wednesday the 27th during the morning coffee break in front of the Mathematics building (stairs).<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2380Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-11T12:16:24Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenlees 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Break||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||-||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø||Kabeer Manali Rahul<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra from equivariant homotopy.'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
The mapping of topics to lectures is unlikely to be precise, but the sequence is<br />
# Torsion modules, complete modules<br />
# The Balmer spectrum of rational G-spectra<br />
# Adelic models of tensor triangulated categories<br />
<br />
References: <br />
#JPCGreenlees and JP May “Derived functors of I-adic completion and local homology” Journal of Algebra 149 (1992) 438–453.<br />
#W.G.Dwyer and J.P.C.Greenlees “Complete modules and torsion modules.” American J. Math. 124 (2002) 199-220<br />
#J.P.C.Greenlees “The Balmer spectrum for rational equivariant cohomology theories” JPAA 223 (2019) 2845-2871 arXiv: 1706.07868<br />
#S.Balchin and J.P.C.Greenlees “Adelic models for tensor triangulated categories” Adv. Math. 375 (2020), 107339, 30pp, arXiv: 1903.02669<br />
#S. Balchin and J.P.C.Greenlees “Separated and complete adelic models for 1-dimensional ten- sor triangulated categories” JPAA 226 (2022) 107109, 42pp, arXiv: 2106.09156<br />
#J.P.C.Greenlees “Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence.” JPAA 227 (2023) 107300, 31pp, arXiv:2110.00268<br />
#S.Balchin, T.Barthel and J.P.C.Greenlees “Balmer spectra and Priestley spaces” Submitted for publication, 61pp arXiv 2311.18808<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the $p$-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable $A^1$-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view. In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - $o$-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
The conference picture will be taken on Wednesday the 27th during the morning coffee break in front of the Mathematics building (stairs).<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2356Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-10T14:57:59Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenless 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Conference Picture||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||-||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||rowspan="1"|Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø||Kabeer Manali Rahul<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra from equivariant homotopy.'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
The mapping of topics to lectures is unlikely to be precise, but the sequence is<br />
# Torsion modules, complete modules<br />
# The Balmer spectrum of rational G-spectra<br />
# Adelic models of tensor triangulated categories<br />
<br />
References: <br />
#JPCGreenlees and JP May “Derived functors of I-adic completion and local homology” Journal of Algebra 149 (1992) 438–453.<br />
#W.G.Dwyer and J.P.C.Greenlees “Complete modules and torsion modules.” American J. Math. 124 (2002) 199-220<br />
#J.P.C.Greenlees “The Balmer spectrum for rational equivariant cohomology theories” JPAA 223 (2019) 2845-2871 arXiv: 1706.07868<br />
#S.Balchin and J.P.C.Greenlees “Adelic models for tensor triangulated categories” Adv. Math. 375 (2020), 107339, 30pp, arXiv: 1903.02669<br />
#S. Balchin and J.P.C.Greenlees “Separated and complete adelic models for 1-dimensional ten- sor triangulated categories” JPAA 226 (2022) 107109, 42pp, arXiv: 2106.09156<br />
#J.P.C.Greenlees “Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence.” JPAA 227 (2023) 107300, 31pp, arXiv:2110.00268<br />
#S.Balchin, T.Barthel and J.P.C.Greenlees “Balmer spectra and Priestley spaces” Submitted for publication, 61pp arXiv 2311.18808<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the $p$-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable $A^1$-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view. In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - $o$-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2355Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-10T14:55:21Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenless 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Conference Picture||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||-||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||rowspan="1"|Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø||Kabeer Manali Rahul<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra from equivariant homotopy.'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
References: <br />
#JPCGreenlees and JP May “Derived functors of I-adic completion and local homology” Journal of Algebra 149 (1992) 438–453.<br />
#W.G.Dwyer and J.P.C.Greenlees “Complete modules and torsion modules.” American J. Math. 124 (2002) 199-220<br />
#J.P.C.Greenlees “The Balmer spectrum for rational equivariant cohomology theories” JPAA 223 (2019) 2845-2871 arXiv: 1706.07868<br />
#S.Balchin and J.P.C.Greenlees “Adelic models for tensor triangulated categories” Adv. Math. 375 (2020), 107339, 30pp, arXiv: 1903.02669<br />
#S. Balchin and J.P.C.Greenlees “Separated and complete adelic models for 1-dimensional ten- sor triangulated categories” JPAA 226 (2022) 107109, 42pp, arXiv: 2106.09156<br />
#J.P.C.Greenlees “Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence.” JPAA 227 (2023) 107300, 31pp, arXiv:2110.00268<br />
#S.Balchin, T.Barthel and J.P.C.Greenlees “Balmer spectra and Priestley spaces” Submitted for publication, 61pp arXiv 2311.18808<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the $p$-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable $A^1$-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view. In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - $o$-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2354Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-10T14:54:16Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenless 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Conference Picture||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||-||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||rowspan="1"|Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø||Kabeer Manali Rahul<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra from equivariant homotopy.'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
References: <br />
#JPCGreenlees and JP May “Derived functors of I-adic completion and local homology” Journal of Algebra 149 (1992) 438–453.<br />
#W.G.Dwyer and J.P.C.Greenlees “Complete modules and torsion modules.” American J. Math. 124 (2002) 199-220<br />
#J.P.C.Greenlees “The Balmer spectrum for rational equivariant cohomology theories” JPAA 223 (2019) 2845-2871 arXiv: 1706.07868<br />
#S.Balchin and J.P.C.Greenlees “Adelic models for tensor triangulated categories” Adv. Math. 375 (2020), 107339, 30pp, arXiv: 1903.02669<br />
#S. Balchin and J.P.C.Greenlees “Separated and complete adelic models for 1-dimensional ten- sor triangulated categories” JPAA 226 (2022) 107109, 42pp, arXiv: 2106.09156<br />
#J.P.C.Greenlees “Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence.” JPAA 227 (2023) 107300, 31pp, arXiv:2110.00268<br />
#S.Balchin, T.Barthel and J.P.C.Greenlees “Balmer spectra and Priestley spaces” Submitted for publication, 61pp arXiv 2311.18808<br />
<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the $p$-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable $A^1$-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view. In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - $o$-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2353Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-10T14:52:26Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenless 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Conference Picture||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||-||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||rowspan="1"|Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen||Kabeer Manali Rahul<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra from equivariant homotopy.'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
References: <br />
#JPCGreenlees and JP May “Derived functors of I-adic completion and local homology” Journal of Algebra 149 (1992) 438–453.<br />
#W.G.Dwyer and J.P.C.Greenlees “Complete modules and torsion modules.” American J. Math. 124 (2002) 199-220<br />
#J.P.C.Greenlees “The Balmer spectrum for rational equivariant cohomology theories” JPAA 223 (2019) 2845-2871 arXiv: 1706.07868<br />
#S.Balchin and J.P.C.Greenlees “Adelic models for tensor triangulated categories” Adv. Math. 375 (2020), 107339, 30pp, arXiv: 1903.02669<br />
#S. Balchin and J.P.C.Greenlees “Separated and complete adelic models for 1-dimensional ten- sor triangulated categories” JPAA 226 (2022) 107109, 42pp, arXiv: 2106.09156<br />
#J.P.C.Greenlees “Rational torus-equivariant stable homotopy V: the torsion Adams spectral sequence.” JPAA 227 (2023) 107300, 31pp, arXiv:2110.00268<br />
S.Balchin, T.Barthel and J.P.C.Greenlees “Balmer spectra and Priestley spaces” Submitted for publication, 61pp arXiv 2311.18808<br />
<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the $p$-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable $A^1$-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view. In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - $o$-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2351Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-10T12:20:40Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenless 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Conference Picture||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||-||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||rowspan="2"|Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen||Kabeer Manali Rahul<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra and equivariant cohomology theories'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the $p$-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable $A^1$-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view. In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - $o$-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2350Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-10T12:19:19Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
<br />
{| class="wikitable"<br />
|+<br />
|-<br />
!Time!!Monday!!Tuesday!!Wednesday!!Thursday!!Friday<br />
|-<br />
|9:00-9:30||Registration|| || || ||<br />
|-<br />
|9:30-10:30||Srikanth Iyengar 1 ||John Greenlees 2 ||Natalia Castellana 2 ||Magdalena Kedziorek 3 ||Natalia Castellana 3<br />
|-<br />
|10:30-11:00||style="text-align:center" colspan="5"| Coffee Break<br />
|-<br />
|11:00-11:30||rowspan="2"|John Greenless 1||rowspan="2"|Magdalena Kedziorek 2||rowspan="2"|Srikanth lyengar 2||rowspan="2"|John Greenlees 3||Ahina Nandy<br />
|-<br />
|11:30-12:00||Jorge Eduardo Gaspar Lara<br />
|-<br />
|12:00-12:30||Kamil Rychlewicz||Conference Picture||Gabriel Martinez de Cestafe Pumares||Maria Simkova||Gregoire Marc<br />
|-<br />
|12:30-13:30||rowspan="2"|Lunch||-||style="text-align:center" rowspan="2" colspan="2"|Lunch<br />
|-<br />
|13:30-14:00||rowspan="2"|Lunch<br />
|-<br />
|14:00-14:30||rowspan="2"|Magdalena Kedziorek 1||rowspan="6"|Excursion||rowspan="2"|Srikanth lyengar 3<br />
|-<br />
|14:30-15:00||rowspan="2"|Natalia Castellana 1<br />
|-<br />
|15:00-15:30||Maxime Wybouw||Break<br />
|-<br />
|15:30-16:00||style="text-align:center" colspan="2"|Break||rowspan="2"|Marco Praderio Bova<br />
|-<br />
|16:00-16:30||rowspan="2"|Gong Show||Torgeir Aambø<br />
|-<br />
|16:30-17:00||Marius Verner Bach Nielsen||Kabeer Manali Rahul<br />
|}<br />
<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra and equivariant cohomology theories'''<br />
<br />
The aim of the lectures is to show the interaction between equivariant homotopy theory and commutative algebra has been beneficial to both subjects.<br />
Underlying it are common structures, starting with localization, torsion and completion. The localization theorem was an early link, but did not need much development on the<br />
algebra side. On the other hand the Atiyah-Segal Completion Theorem and Carlsson’s Theorem (the Segal Conjecture) led to several developments in understanding, in understanding<br />
derived functors of completion and many generator ideals. The Balmer spectrum categorifies the Zariski spectrum from commutative algebra, and gives a way to globalize these<br />
connections. Furthermore, one can build on this globalized answer to give a fully algebraic model in suitable circumstances. The lectures aim to follow this development, from<br />
the ideal-wise picture, through the geometry to the models, ideally illustrated by examples from both algebra and topology.<br />
<br />
[Since time is limited we will not pursue other possible threads connecting commutative algebra and equivariant homotopy theory (eg duality and Gorenstein rings, singularity categories and perhaps<br />
complete intersections.)]<br />
<br />
<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
<br />
<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
''' Marco Praderio Bova -- On the sharpness conjecture for fusion systems'''<br />
<br />
Fusion systems are categories that, in a sense, represent an abstraction of the $p$-local structure of a finite group. Mackey functors on the other hand are algebraic structures with induction, restriction and conjugation operations satisfying certain properties that seem to appear in a variety of different contexts such as representation theory, group cohomology or algebraic K-theory among others. Mackey functors can be related to a variety of different constructions including fusion systems. When related to fusion systems, they can be viewed as a pair of a covariant and a contravariant functors. In 2014 Diaz and Park conjectured that the higher limits of the contravariant part of any Mackey functor over a fusion system vanish. Such conjecture (known as sharpness for fusion systems) has seen a lot of recent activity, During this talk we will properly state such conjecture and overview the latest efforts made towards solving it.<br />
<br />
''' Jorge Eduardo Gaspar Lara -- Fusion-invariant representations'''<br />
<br />
In this talk I will do a brief introduction to fusion-invariant representations and their connection with the study of p-local groups. I will talk about the behavior of the decomposition of fusion-invariant representations as a sum of irreducible fusion-invariant representations. Particularly, I will talk about the uniqueness of decomposition for a family of symmetric groups and recent results regarding the study of irreducible fusion-invariant representations. This is joint work with José Cantarero.<br />
<br />
<br />
'''Ahina Nandy -- An Interpolation between General and Special Linear Algebraic Cobordism'''<br />
<br />
Conner and Floyd determined the torsion in the special unitary bordism MSU back in the late 1960s. One of the main ingredients of their work was an interpolation between MSU and unitary bordism MU. In this talk, I will talk about an analogous relation between the special, and general linear algebraic cobordism MSL, and MGL in the stable $A^1$-homotopy category. I will also talk about some computations related to the first stable homotopy group of MSL. <br />
<br />
<br />
''' Gabriel Martínez de Cestafe Pumares -- Multiplicative aspects of global algebraic K-theory''' <br />
<br />
Global algebraic K-theory is a global equivariant refinement of algebraic K-theory due to Schwede. His construction turns a specific kind of algebraic input data, called parsummable category, into a symmetric spectrum. One can then look at the 0th equivariant homotopy groups of this spectrum to recover relevant information about the input data. Global algebraic K-theory admits an additional layer of structure: a parsummable category can sometimes be equipped with a multiplicative structure, which allows to endow the associated symmetric spectrum with a ring structure. In this case, the 0th equivariant homotopy groups of the spectrum become rings and their multiplication carries information about the input multiplicative structure. I will explain these ideas in the talk, taking as example the global algebraic K-theory of a commutative ring.<br />
<br />
''' Kabeer Manali Rahul -- Triangulated categories with metrics'''<br />
<br />
In recent work, Neeman has worked with triangulated categories with metrics to prove remarkable results in algebraic geometry, derived Morita theory etc. One of the most important of those results is a new Brown representability theorem. In this talk, we prove a generalisation of this representability result. To this end, we introduce a generalisation of the notion of an approximable triangulated category, and prove some results related to it. If time permits, we will talk about some applications of these techniques to constructing admissible categories.<br />
<br />
''' Maria Simkova -- A minimal model of finite simplicial set (algorithmic approach)'''<br />
<br />
In this talk, we will discuss the combinatorial minimal Sullivan model for finite simplicial sets from an algorithmic point of view.<br />
In particular, we provide a sequence of instructions on how to calculate its generators using Whitney elementary forms.<br />
<br />
'''Gong show titles:'''<br />
# Andrew Fisher - Cohomology of the Motzkin Algebra<br />
# Clover May - Extending RO(G) to representations of the fundamental groupoid<br />
# Sil Linskens - Ambidexterity and spans<br />
# Yorick Fuhrmann - An equivariant Schwede--Shipley theorem<br />
# Kristina Dengler - $o$-minimal geometry<br />
# Juan Omar Gomez - The twisted integral cohomology ring of a finite p-group<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2295Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-06T12:24:25Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
<br />
<br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
<br />
<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Schedule==<br />
The schedule of the conference can be found here.<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra and equivariant cohomology theories <br />
'''<br />
<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
<br />
<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2294Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-06T12:05:33Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra and equivariant cohomology theories <br />
'''<br />
<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
<br />
<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2293Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-06T12:04:49Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Cantarero-Castellana-Morales, Vector bundles over p-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra and equivariant cohomology theories <br />
'''<br />
<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
<br />
# Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
<br />
# Locally dualizable modules abound (with Carlson)<br />
<br />
<br />
<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2292Page Interactions between algebra equivariance and homotopy theory Summer School2024-06-06T12:03:35Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Lecture series==<br />
<br />
'''Natalia Castellana -- Algebraic models for the mod $p$ homotopy type of classifying spaces <br />
'''<br />
For finite groups, group cohomology is a field which exploits the best of both algebraic topology and homological algebra. Choosing different coefficients will reflect different properties of the classifying space and the internal structure of the group. We will focus on the Bousfield $p$-completion of the classifying space. In this case, the classical stable elements formula due to Cartan and Eilenberg shows how the mod $p$ cohomology only depends on the $p$-subgroups and its conjugacy relations. This information can be encoded in a category, the fusion category of the finite group. <br />
<br />
How much of the mod $p$ homotopy theory can be determined by the fusion category? Work of Puig and Broto-Levi-Oliver formalize an abstract notion of a fusion system on a $p$-group, its associated classifying space and studied its homotopy theory. In these lectures, the aim is to describe this algebraic model for the local structure at a prime, and show how results in both unstable and stable homotopy theory of classifying spaces at a prime are determined by it.<br />
<br />
References:<br />
<br />
# Numbered list item<br />
Broto-Levi-Oliver, The homotopy theory of fusion systems, JAMS 16, (2003)<br />
# Numbered list item<br />
Castellana, Algebraic models in the homotopy theory of classifying spaces, Handbook of homotopy theory<br />
# Numbered list item<br />
Barthel-Castellana-Heard-Valenzuela, Stratification and duality for homotopical groups, Advances in Mathematics 354 (2019)<br />
# Numbered list item<br />
Cantarero-Castellana-Morales, Vector bundles over $p$-local groups and Benson-Carlson duality, Journal of the London Mathematical Society 101 (2020)<br />
<br />
'''John Greenlees -- Commutative algebra and equivariant cohomology theories <br />
'''<br />
<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
1. Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
<br />
2. Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
<br />
3. Locally dualizable modules abound (with Carlson)<br />
<br />
<br />
<br />
<br />
'''Magdalena Kedziorek -- Equivariant commutativity and norms <br />
'''<br />
<br />
Recently, equivariant homotopy theory has provided instrumental tools for solving computational and conceptual problems in algebraic topology. New developments in the field in the last decades created an incredible amount of activity. As a result, a lot of attention in equivariant homotopy theory has been given to various levels of commutativity in that setting. These levels are modelled by $N_\infty$-operads of Blumberg and Hill and they can be completely classified in terms of algebraic data of transfer systems. This in turn can be understood for many finite groups using combinatorics. There is also a framework capturing different levels of commutativity in global homotopy theory. <br />
<br />
In this series of talks, I will concentrate on presenting this landscape and outlining how it combines with algebraic models for rational G-spectra. <br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2259Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-31T14:35:04Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Lecture series==<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
1. Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
<br />
2. Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
<br />
3. Locally dualizable modules abound (with Carlson)<br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2258Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-31T14:34:18Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Lecture series==<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
<br />
Lecture 2: Local regularity<br />
<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
# Numbered list item<br />
1. Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
2. Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
3. Locally dualizable modules abound (with Carlson)<br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2257Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-31T14:33:33Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Lecture series==<br />
<br />
'''Srikanth Iyengar -- Dualisable objects in local algebra and modular representation theory'''<br />
<br />
The derived category of a commutative noetherian ring is stratified (in a way that will be made precise in the lectures) by its spectrum of prime ideals.<br />
There is an analogous stratification of the stable module category of a finite group in terms of the spectrum of the cohomology ring of the group.<br />
Understanding these local strata takes us a long way towards understanding the global structure of the categories. This lecture series will be about<br />
dualisable objects in the local strata. My goal is to explain why they are of interest, and some of the special properties they possess. The local dualisable objects in a given stratum form an essentially small tensor triangulated category. The culmination of the talks will be a description of their Balmer spectrum.<br />
<br />
Lecture 1: Tensor triangulated categories: stratification and dualisability<br />
Lecture 2: Local regularity<br />
Lecture 3: Locally dualisable modular representations<br />
<br />
The basic references for these lectures are the articles:<br />
<br />
1. Local dualisable objects in local algebra (with Benson, Krause, and Pevtsova)<br />
2. Locally dualisable modular representations and local regularity (with Benson, Krause, Pevtsova)<br />
3. Locally dualizable modules abound (with Carlson)<br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2253Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-31T09:02:17Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
'''Maxime Wybouw -- Minimal models in diagrams of chain complexes'''<br />
<br />
A classical theorem by Kadeishvili states that the information of the<br />
quasi-isomorphism type of an associative differential graded algebra<br />
over a field can be encoded as a minimal A_\infty structure on its<br />
homology algebra. In this talk, I will discuss generalizations of this<br />
result that allow to encode commutative multiplications and to work over<br />
more general ground rings. A motivating example is the cochain algebra<br />
of a space. One main tool is to work with diagrams of chain complexes<br />
indexed by finite sets and injections.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2248Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-27T14:19:58Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
<br />
'''Torgeir Aambø -- K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2247Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-27T14:19:34Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
''' Marius Verner Bach Nielsen -- K(n)-local homotopy in synthetic spectra'''<br />
<br />
Using deformation theory one can categorify the E-Adams spectral sequence based on an Adams type spectrum E. For K(n)-local spectra one often uses the K(n)-local E_n-Adams spectral sequence, which does not directly admit a categorification. In this talk, we will propose a solution to this, by using a localization of E_n-based synthetic spectra. As a proof of concept, we compute the synthetic homotopy groups of the K(1)-local sphere. This is joint work with Torgeir Aambø.<br />
<br />
<br />
'''K(n)-local deformation theory'''<br />
<br />
Pstragowski’s category of hypercomplete E_n-based synthetic spectra, Syn_E, acts as a one-parameter deformation between Sp_n and the derived category of E_*E-comodules. However, there is a more fundamental building block inside Sp_n — the category of K(n)-local spectra — and we can ask whether this also has an associated deformation. But, K(n)-based synthetic spectra deform to the wrong category of comodules, and hence can be interpreted as an incorrect deformation for Sp_{K(n)}. In this talk, we investigate a K(n)-local analog of Syn_E and prove that it has the correct one-parameter deformation properties. This is joint work with Marius Nielsen.<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2239Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-17T12:12:28Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2238Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-17T12:12:06Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
<br />
==Titles and Abstracts==<br />
'''Kamil Rychlewicz -- Equivariant cohomology theories as rings of functions''' <br />
<br />
<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2237Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-17T11:09:49Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
<br />
==Abstracts==<br />
'''Title:''' Equivariant cohomology theories as rings of functions (Kamil Rychlewicz) <br />
<br />
'''Abstract:'''<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2236Page Interactions between algebra equivariance and homotopy theory Summer School2024-05-17T11:08:41Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br />
'''Title:''' Equivariant cohomology theories as rings of functions-- Kamil Rychlewicz <br />
'''Abstract:'''<br />
The classical Poincaré-Hopf theorem shows how to recover the Euler characteristic of a compact manifold from isolated zeros of the vector field. The work of Carrell-Liebermann and Akyildiz-Carrell extended that result, showing that in case of a smooth projective complex variety, one can recover the whole cohomology ring from the ring of functions of the zero scheme of the vector field. Theorem of Brion-Carrell extends it to equivariant cohomology for an action of a Borel of SL_2. Together with Tamas Hausel, we recently generalized the result to any reductive group, or its Borel, acting with a single zero of a regular nilpotent. The spectrum of the equivariant cohomology then shows up as a geometrically constructed zero scheme of a vector field. I will report on that result, and sketch a further circle of ideas which allows to view more general cohomology rings, e.g. for spherical varieties or certain singular varieties, as rings of functions on potentially non-affine variety.<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=2123Page Interactions between algebra equivariance and homotopy theory Summer School2024-03-27T09:22:51Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Registration==<br />
Registration is closed. We are already reached the full capacity of the seminar room. <br><br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=1827Page Interactions between algebra equivariance and homotopy theory Summer School2024-01-19T16:09:54Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Registration==<br />
We have some funding available to cover travel and accommodation costs. If you are interested in applying for support, please indicate so in the registration form. If you are applying for funding, the deadline to register is February 29th. We will book the hotel room for those who receive accommodation support from us, so please do not book hotel rooms if you are applying for accommodation. We have a limited capacity of around 50 participants. Please register [https://forms.gle/gxJpFpKKTnZzQnQU9 here]. <br><br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=1826Page Interactions between algebra equivariance and homotopy theory Summer School2024-01-19T14:48:03Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Registration==<br />
We have some funding available to cover travel and accommodation costs. If you are interested in applying for support, please indicate so in the registration form. If you are applying for funding, the deadline to register is February 29th. We will book the hotel room for those who receive accommodation support from us, so please do not book hotel rooms if you are applying for accommodation. Please register [https://forms.gle/gxJpFpKKTnZzQnQU9 here]. <br><br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=1825Page Interactions between algebra equivariance and homotopy theory Summer School2024-01-19T14:44:48Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Registration==<br />
Please register [https://forms.gle/gxJpFpKKTnZzQnQU9 here]. We have some funding available to cover travel and accommodation costs. If you are interested in applying for support, please indicate it in the registration form. If you are applying for funding, the deadline to register is February 29th. If you obtain support for accommodation, we will book the hotel room for you. <br><br />
<br />
<br><br />
==Conference Poster==<br />
<div class="res-img">[[File:Summer_school3.png| center]]</div><br />
You can download the conference poster [[Media:Summer_school3.pdf| <b>here</b>]].<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://jordanwilliamson1.github.io/ Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=1330Page Interactions between algebra equivariance and homotopy theory Summer School2023-10-18T12:29:32Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be a series of contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Registration==<br />
'''Pre-Registration:''' There is a limited capacity of 65 attendees. Pre-registration will open in January. <br><br />
'''Registration:''' Pre-registered participants will receive the conference documents on the first day by Birgit Tiefenbach (office in room M301). <br><br />
<br />
<br><br />
==Conference Poster==<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://sites.google.com/view/jordanwilliamson/home Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=1329Page Interactions between algebra equivariance and homotopy theory Summer School2023-10-18T12:28:54Z<p>Pol65357: </p>
<hr />
<div><div class="res-img">[[Image:Donau-Regensburg-St_Oswald.jpg|1100px|center]]</div><br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
There will also be contributed talks by participants.<br />
==Practical Information==<br />
<br />
<br />
<div class="res-img">[[Image:Regensburg-Dom.jpg|480px|left]]</div><br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Program and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Registration==<br />
'''Pre-Registration:''' There is a limited capacity of 65 attendees. Pre-registration will open in January. <br><br />
'''Registration:''' Pre-registered participants will receive the conference documents on the first day by Birgit Tiefenbach (office in room M301). <br><br />
<br />
<br><br />
==Conference Poster==<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://sites.google.com/view/jordanwilliamson/home Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica'''] <br><br />
<div class="res-img">[[Image:Higher-invariants.png|400px]][[Image:Compositiologo.png|200px]]</div></div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=1282Page Interactions between algebra equivariance and homotopy theory Summer School2023-10-12T08:39:45Z<p>Pol65357: </p>
<hr />
<div>[[File:Donau-Regensburg-St_Oswald.jpg|1100px|center]] <br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek, Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
<br />
==Practical Information==<br />
<br />
<br />
[[File:Regensburg-Dom.jpg|480px|left]] <br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Programm and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Registration==<br />
'''Pre-Registration:''' There is a limited capacity of 65 attendees. <br><br />
'''Registration:''' Registered participants will recieve the conference documents on the first day by Birgit Tiefenbach (office in room M301). <br><br />
<br />
<br><br />
==Conference Poster==<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://sites.google.com/view/jordanwilliamson/home Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Compositio Mathematica''']</div>Pol65357https://sfb-higher-invariants.app.uni-regensburg.de/index.php?title=Page_Interactions_between_algebra_equivariance_and_homotopy_theory_Summer_School&diff=1281Page Interactions between algebra equivariance and homotopy theory Summer School2023-10-12T08:39:10Z<p>Pol65357: </p>
<hr />
<div>[[File:Donau-Regensburg-St_Oswald.jpg|1100px|center]] <br />
=&nbsp;Summer School Interactions between Algebra, Equivariance, and Homotopy Theory (June 24-28, 2024)=<br />
<br />
<br />
<br />
__TOC__<br />
<br />
==Aim and Scope==<br />
The aim of the summer school is to bring<br />
together researchers in algebra and homotopy theory, especially those with a link to equivariant<br />
methods, and seek to encourage collaboration and interaction between these different, yet<br />
deeply related fields. A key focus of this summer school is on early career researchers.<br />
<br><br />
==Invited Speakers==<br />
*[https://warwick.ac.uk/fac/sci/maths/people/staff/greenlees/ John Greenlees] "Commutative algebra and equivariant cohomology theories",<br />
*[https://www.crm.cat/person/79/castellana-natalia/ Natalia Castellana] "Algebraic models for the mod p homotopy type of classifying spaces",<br />
*[https://sites.google.com/view/mkedziorek, Magdalena Kędziorek] "Equivariant commutativity and norms",<br />
*[http://www.math.utah.edu/~iyengar/ Srikanth Iyengar] "Dualisable objects in local algebra and modular representation theory".<br />
<br><br />
<br />
==Practical Information==<br />
<br />
<br />
[[File:Regensburg-Dom.jpg|480px|left]] <br />
<br />
<br />
'''City of Regensburg:''' Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral. <br> Further information about Regensburg can be found [https://tourismus.regensburg.de/en here.]<br />
<br />
'''Internet:''' Access to eduroam and BayernWLAN is available throughout the Mathematics Building. <br />
<br />
'''Accomodation:''' Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area: <br />
<br />
[https://muenchner-hof.de/hotel-muenchner-hof - Hotel Münchner Hof] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.kaiserhof-am-dom.de - Hotel Kaiserhof am Dom] (In the city center, one must take a bus to the University.) <br><br />
<br />
[https://www.hotel-jakob-regensburg.de/de/ - Hotel Jakob] (In the city center, one must take a bus to the University.) <br><br />
<br />
[http://www.hotelapollo.de - Hotel Apollo] (Near the University, but limited eating options nearby.)<br />
<br />
[https://www.hotelwiendl.de/ - Hotel Wiendl] (Between the city center and the University.)<br />
<br />
[http://www.hotel-central-regensburg.de - Hotel Central] (Between the city center and the University, one must take a bus to the University.) <br><br />
<br />
'''Family Friendly Campus:''' Our UR family service offers various rooms for families and services. If you need further information look [https://www.uni-regensburg.de/universitaet/personalentwicklung/familien-service/campus/index.html here.] <br><br />
<br><br />
<br />
<br />
==Venue==<br />
<br />
All lectures and research talks are in '''the lecture hall M311''', at the '''3rd floor of the Mathematics building''' of Regensburg University (Attention: '''not''' the department "Mathematik und Informatik" of the OTH).<br />
<br />
One can reach the [https://www.uni-regensburg.de/en University of Regensburg] by following the instructions [http://www.uni-regensburg.de/contact/directions/index.html here] and see [https://www.uni-regensburg.de/contact/maps/index.html here] for maps of the campus.<br />
Many of the participants will probably arrive by bus at the Central Bus Station of the university which is close to the math building, a bit more towards North (=top of the plan).<br />
<br />
Inside of the Mathematics building, use the staircase next to the main entrance and go up to the top.<br />
<br />
==Programm and Schedule==<br />
The schedule of the conference will follow a month before the conference.<br />
<br><br />
==Registration==<br />
'''Pre-Registration:''' There is a limited capacity of 65 attendees. <br><br />
'''Registration:''' Registered participants will recieve the conference documents on the first day by Birgit Tiefenbach (office in room M301). <br><br />
<br />
<br><br />
==Conference Poster==<br />
<br><br />
==Organizers ==<br />
[https://sites.google.com/view/lucapol/ Luca Pol], [https://sites.google.com/view/jordanwilliamson/home Jordan Williamson]<br />
<br><br />
==Conference Picture==<br />
<br><br />
==Sponsors of the conference==<br />
This conference is funded by '''SFB 1085 "Higher Invariants"''' and [https://compositio.nl/#foundation '''Foundation Composition Mathematica''']</div>Pol65357