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Combined display of all available logs of SFB1085 - Higher Invariants. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

• 14:46, 28 June 2026 Vom41941 talk contribs created page The Cubes Functor of (∞,n)-Categories (Created page with "The cubes functor is a direction-symmetric functor from n-categories to n-uple categories. In joint work in progress with Shai Keidar, we prove that the cubes functor is fully faithful and identify its essential image, extending recent results in the case n=2. We also consider the non-univalent setting. There, the cubes functor is not fully faithful, but it is both monadic and comonadic, allowing us to describe non-univalent n-categories in terms of non-univalent n-up...")
• 13:37, 5 June 2026 Wic42659 talk contribs created page The span-squares adjunction (Created page with "We establish an adjunction between infinity-categories and double infinity-categories, where the left adjoint is the span category construction, viewed as a functor on double infinity-categories. Using this adjunction, we obtain new proofs of the equivalences between different models of algebraic 𝐾-theory, given by the Q-, the S-, the cobordism model, and the squares construction")
• 11:05, 19 May 2026 Wic42659 talk contribs created page On the geometrization of synthetic spectra (Created page with "The category of synthetic spectra is a strong tool for understanding the Adams-Novikov spectral sequence and acts as a 1-parameter deformation between spectra and quasi-coherent sheaves on the moduli stack of formal groups. One perspective on the Adams-Novikov spectral sequence is that it is the descent spectral sequence for the moduli stack of formal groups. In this talk I will present an approach which, to any geometric (non-connective) spectral stack X, produces a cat...")
• 10:00, 1 May 2026 Vom41941 talk contribs created page Monadic resolutions for (generalized) spaces (Created page with "Understanding the homotopy type of a space often benefits from studying its values under homology theories. Every homology theory determines a Bousfield localization on the category of spaces — for example, rational cohomology leads to rationalization, while $F_p$-homology induces $p$-completion. In favorable cases, these localizations admit explicit descriptions via monadic resolutions. A key example is the $p$-completion $L_p X$ of a nilpotent space $X$, which can...")
• 18:48, 24 April 2026 Vom41941 talk contribs created page Calabi—Yau structures on constructible sheaves categories (Created page with "For X a compact oriented topological manifold and k a field, Verdier duality on locally constant sheaves of k-modules on X can be encoded in a non-commutative symplectic structure, called Calabi—Yau structure. Brav—Dyckerhoff also introduced a relative notion of such, which allows one to recover Verdier duality for manifolds with boundaries. If now X is equipped with a (nice enough) finite stratification P, we show that there exists a Calabi—Yau structure on the k-...")
• 21:48, 17 April 2026 Vom41941 talk contribs created page Presenting the stratified homotopy hypothesis (Created page with "The stratified homotopy hypothesis proclaims an equivalence between a homotopy theory of stratified spaces, and the homotopy theory of such small (infinity,1)-categories in which every endomorphism is an isomorphism. In this talk, after an introduction into the homotopy theory of stratified spaces, I want to talk about an explicit presentation of this proclaimed equivalence in terms of a Quillen equivalence using Lurie’s construction of the infinity-category of exit-pa...")
• 14:38, 15 April 2026 Cid36224 talk contribs created page Complexes of stable ∞-categories and higher Segal conditions (Created page with "Title: Complexes of stable ∞-categories and higher Segal conditions Abstract: There exists an equivalence of (∞,2)-categories between the (∞,2)-category of complexes of stable ∞-categories and that of 2-simplicial stable ∞-categories, established by Dyckerhoff, which categorifies the classical Dold–Kan correspondence. It is well known that every simplicial abelian group is in particular a Kan complex, i.e. it admits certain horn fillers. In this talk, I will...")
• 09:59, 22 January 2026 Wic42659 talk contribs created page K-theoretic Poitou-Tate duality & the heart of D^b of locally compact abelian groups (Created page with "(joint with Fei Ren, Wuppertal University) Number theory part: I will give a little introduction to K-theoretic Artin maps à la Clausen and K-theoretic Poitou-Tate duality à la Blumberg-Mandell. That's a somewhat new viewpoint on class field theory. Topology part: LCA groups show up as a surprising model for the compactly supported side of said duality, leading to Clausen's cool way to uniformly describe the non-Galois side of class field theory as K_1(LCA_F) for F t...")
• 15:24, 16 January 2026 Ghd08439 talk contribs created page A generalisation of Day convolution for operad-like structures (Created page with "A fundamental construction in higher algebra is that of Day convolution. This construction, if it exists, defines an internal hom-object in the ∞-category of ∞-operads. In this talk, I will describe an explicit condition for the existence of such internal hom-objects for other operad-like structures. Even in the case of ∞-operads, our proof is very different from previous constructions. The existence condition we obtain is very similar to the Conduché criterion fo...")
• 15:22, 16 January 2026 Ghd08439 talk contribs created page A generalisation of Day convolution for Operad-like structures (Created page with "A fundamental construction in higher algebra is that of Day convolution. This construction, if it exists, defines an internal hom-object in the oo-category of oo-operads. In this talk, I will describe an explicit condition for the existence of such internal hom-objects for other operad-like structures. Even in the case of oo-operads, our proof is very different from previous constructions. The existence condition we obtain is very similar to the Conduché criterion for d...")
• 14:42, 13 January 2026 Vom41941 talk contribs created page Semifree isovariant Poincaré spaces and the gap condition (Created page with "The study of group actions on manifolds is a classical problem in geometric topology. In this talk, I will introduce the notion of isovariant G-Poincaré spaces, a homotopical notion interpolating between closed smooth G-manifolds and G-Poincaré spaces. The main result shows that, for a periodic finite group G and under suitable codimension hypothesis, the space of isovariant structures on a G-Poincaré space is highly connected. This is a useful tool for constructing m...")
• 14:41, 13 January 2026 Vom41941 talk contribs created page Talk:AG-Seminar WS2021/22: (Created page with "The study of group actions on manifolds is a classical problem in geometric topology. In this talk, I will introduce the notion of isovariant G-Poincaré spaces, a homotopical notion interpolating between closed smooth G-manifolds and G-Poincaré spaces. The main result shows that, for a periodic finite group G and under suitable codimension hypothesis, the space of isovariant structures on a G-Poincaré space is highly connected. This is a useful tool for constructing m...")
• 12:45, 16 December 2025 Wic42659 talk contribs created page Grothendieck-Witt theory of pushouts (Created page with "Given a Poincaré-duality space X much information can be gathered from its GW-theory. As GW-theory is generally hard to compute, one important question is how GW-theory behaves under gluing of spaces. In this talk I will present a criterion which guarantees a splitting of the GW-theory of a pushout in a part fitting in a Mayer-Vietoris sequence and an error term. The criterion applies more generally for localising invariants and allows generalizations of splitting theor...")
• 13:45, 22 November 2025 Cid36224 talk contribs created page The cobordism spectrum of Poincare spaces (Created page with "Abstract: Based on joint work-in-progress with Bianchi, Kirstein, and Kremer, I will introduce a proposed notion of categorical symmetric spectra as well as an enlargement of the category of Poincare categories which we call that of bundled categories. As applications, we construct the commutative ring cobordism spectrum of Poincare spaces equipped with Pontryagin-Thom maps, and give a new proof that K-theory is lax symmetric monoidal. Time permitting, I will also discus...")
• 10:50, 6 November 2025 Cid36224 talk contribs created page Duality for K-theory in motivic homotopy theory (Created page with "There is an action of K-theory on G-theory, as observed by Quillen and later Thomason–Trobaugh. In recent work, Fangzhou Jin internalized this story to SH by constructing a representing object GGL for G-theory in the six functor formalism of KGL-modules in the motivic homotopy category. The object GGL is stable under exceptional pullback and coincides with KGL over any regular base. It is thus reasonable to ask whether GGL is a dualizing object for KGL-modules. For an...")
• 10:26, 6 November 2025 Brv60445 talk contribs created page Regional Geometry and Topology Meeting (Created page with "<br> <font size="+3" color="#009b77"> Regional Geometry and Topology Meeting<br> </font> <br> <font size="+1"> :<b>Date:</b> Regensburg, 23.06.2017 <br> </font>")
• 06:52, 6 November 2025 Hek43333 talk contribs created page Virtual workshop: Simplicial Volumes and Bounded Cohomology (Created page with "\veranstaltung{Virtual workshop: Simplicial Volumes and Bounded Cohomology}{21.09.-25.09.2020}{Regensburg/online}{Caterina Campagnolo, Roberto Frigerio, Clara Löh, Marco Moraschini}{Mihael Brandenbursky, Diego Corro, Carlos De la Cruz Mengual, Jmes Farre, Tschakik Gelander, Nicolaus Heuer, Alessandro Iozzi, Michał Marcinkowski, Nicolas Monod, Maria Beatrice Pozzetti, Stéphane Sabourau, Roman Sauer, Alessio Savini, Alessandro Sisto, Shi Wang}{Kommunikation}{Zielgruppen...")
• 06:49, 6 November 2025 Hek43333 talk contribs created page Homotopy Theory Workshop (Created page with "\veranstaltung{Homotopy Theory}{05.05.2018}{Regensburg}{Justin Noel, Georgios Raptis}{Martin Frankland, Markus Land, Cary Malkiewich, Hoang-Kim Nguyen, Irakli Patchkoria}{Kommunikation}{Zielgruppen}{Resonanz}")