

HomeAboutPeopleEventsResearchRTGGuest ProgrammeImpressum
From SFB1085 - Higher Invariants
Jump to navigationJump to search3 December 2025
- 22:4822:48, 3 December 2025 diff hist +19 AG-Seminar WS2021/22: No edit summary current
22 November 2025
- 12:4512:45, 22 November 2025 diff hist +631 N 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..." current
- 12:4412:44, 22 November 2025 diff hist +42 AG-Seminar WS2021/22: No edit summary
11 November 2025
- 19:5619:56, 11 November 2025 diff hist +7 AG-Seminar WS2021/22: No edit summary
6 November 2025
- 09:5009:50, 6 November 2025 diff hist +1,235 N 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..." current
- 09:4909:49, 6 November 2025 diff hist +48 AG-Seminar WS2021/22: No edit summary
24 October 2025
- 11:1411:14, 24 October 2025 diff hist +714 N Nori motivic sheaves as sheaves of Nori motives Created page with "Classically, the theory of Nori motives provides an unconditional candidate for the conjectural abelian category of mixed motives over a field of characteristic zero. In the last few years, it has been expanded to a theory of Nori motivic sheaves equipped with Grothendieck's six operations. In fact, two natural definitions of Nori motivic sheaves have been proposed: one by Ivorra--Morel (generalizing the universal property of Nori's abelian category), and one by Ayoub (g..." current
- 11:1411:14, 24 October 2025 diff hist +63 AG-Seminar WS2021/22: No edit summary
18 October 2025
- 17:3317:33, 18 October 2025 diff hist +14 AG-Seminar WS2021/22: No edit summary
16 October 2025
- 19:3719:37, 16 October 2025 diff hist +32 AG-Seminar WS2021/22: No edit summary
25 September 2025
- 12:1412:14, 25 September 2025 diff hist −5 Conference Higher Invariants: interactions between arithmetic geometry and global analysis No edit summary
- 12:1212:12, 25 September 2025 diff hist 0 Conference Higher Invariants: interactions between arithmetic geometry and global analysis No edit summary
9 July 2025
- 18:5118:51, 9 July 2025 diff hist +473 N Unfolding of symmetric monoidal (∞,n)-categories Created page with "In Lurie's article on the Cobordism Hypothesis, he discusses a description of symmetric monoidal (∞,n)-categories with duals for objects and certain adjoints as "chain complexes" of symmetric monoidal ∞-categories with duals, but does not give a proof. I will discuss an approach to proving this based on a general description of closed symmetric monoidal V-enriched ∞-categories as lax symmetric monoidal functors to V. This is work in progress with Thomas Nikolaus." current
- 18:5018:50, 9 July 2025 diff hist +51 AG-Seminar WS2021/22: No edit summary
22 June 2025
- 17:1517:15, 22 June 2025 diff hist +1,182 N The root functor Created page with "Operads can be seen as a generalization of categories, where morphisms are allowed to have multiple inputs but still a single output. As oo-categories are designed to model ‘categories-up-to-homotopy’, the formalism of oo-operads serves to model ‘operads-up-to-homotopy’, where composition is defined only up to homotopy and higher coherence laws substitute equalities in the defining axioms. Many oo-operads arise from their strict counterparts by a process o..." current
- 17:1317:13, 22 June 2025 diff hist +17 AG-Seminar WS2021/22: No edit summary
31 May 2025
- 13:1313:13, 31 May 2025 diff hist 0 AG-Seminar WS2021/22: No edit summary
- 13:1313:13, 31 May 2025 diff hist +7 AG-Seminar WS2021/22: No edit summary
- 13:1113:11, 31 May 2025 diff hist −1 AG-Seminar WS2021/22: No edit summary
5 May 2025
- 16:0016:00, 5 May 2025 diff hist +41 AG-Seminar WS2021/22: No edit summary
- 08:2008:20, 5 May 2025 diff hist +20 AG-Seminar WS2021/22: No edit summary
- 07:0207:02, 5 May 2025 diff hist +14 AG-Seminar WS2021/22: No edit summary
14 April 2025
- 17:5217:52, 14 April 2025 diff hist +16 AG-Seminar WS2021/22: No edit summary
- 17:5117:51, 14 April 2025 diff hist +18 AG-Seminar WS2021/22: No edit summary
5 February 2025
- 10:5510:55, 5 February 2025 diff hist −8 Conference Higher Invariants: interactions between arithmetic geometry and global analysis No edit summary
- 10:5510:55, 5 February 2025 diff hist +11 Conference Higher Invariants: interactions between arithmetic geometry and global analysis No edit summary
- 10:5410:54, 5 February 2025 diff hist −42 Conference Higher Invariants: interactions between arithmetic geometry and global analysis No edit summary
- 00:2600:26, 5 February 2025 diff hist +879 N Limits of (∞, 1)-categories with Structure & Their Lax Morphisms Created page with "We study limits of (∞, 1)-categories with structure and the lax morphisms between them by introducing the notion of enhanced simplicial categories. We establish that many interesting enhanced simplicial categories, including that of (∞, 1)-categories with limits, and that of (discrete) Cartesian fibrations between (∞, 1)-categories, admit several kinds of limits that involve lax morphisms in the diagrams, such as Eilenberg-Moore objects over monads that are lax mor..." current
- 00:2400:24, 5 February 2025 diff hist +66 AG-Seminar WS2021/22: No edit summary
13 January 2025
- 22:3022:30, 13 January 2025 diff hist +32 AG-Seminar WS2021/22: No edit summary
- 22:2822:28, 13 January 2025 diff hist +13 AG-Seminar WS2021/22: No edit summary
22 November 2024
- 16:1116:11, 22 November 2024 diff hist +612 N Proof of the Deligne-Milnor conjecture Created page with "Let X be a scheme over a trait S. Under suitable assumptions, Spencer Bloch conjectured a formula (the Bloch conductor formula) which expresses the total dimension of vanishin..." current
- 16:1016:10, 22 November 2024 diff hist +37 AG-Seminar WS2021/22: No edit summary
5 November 2024
- 21:0921:09, 5 November 2024 diff hist +37 AG-Seminar WS2021/22: No edit summary
11 October 2024
- 14:0514:05, 11 October 2024 diff hist +31 AG-Seminar WS2021/22: No edit summary
9 October 2024
- 16:2516:25, 9 October 2024 diff hist +32 AG-Seminar WS2021/22: No edit summary
8 October 2024
- 19:0419:04, 8 October 2024 diff hist +608 N Purity for Algebraic Stacks Created page with " In previous works, Khan-Ravi and Chowdhury constructed the "Borel" motivic homotopy category for a broad class of algebraic stacks. In a joint paper with C. Chowdhury, we pre..." current
- 19:0419:04, 8 October 2024 diff hist +26 AG-Seminar WS2021/22: No edit summary
3 October 2024
- 20:5520:55, 3 October 2024 diff hist +27 AG-Seminar WS2021/22: No edit summary
- 14:1714:17, 3 October 2024 diff hist +60 AG-Seminar WS2021/22: No edit summary
1 October 2024
- 08:0508:05, 1 October 2024 diff hist +20 AG-Seminar WS2021/22: No edit summary
23 September 2024
- 19:3019:30, 23 September 2024 diff hist +7 AG-Seminar WS2021/22: No edit summary
- 19:2719:27, 23 September 2024 diff hist +1,046 N (∞,2)-Topoi and descent Created page with "'''(∞,2)-Topoi and descent'''. (j. w. Louis Martini) The goal of this talk is to introduce the notion of a Grothendieck (∞,2)-topos as a presentable (∞,2)-category sati..." current
- 19:2619:26, 23 September 2024 diff hist −3 AG-Seminar WS2021/22: No edit summary
- 19:2619:26, 23 September 2024 diff hist +53 AG-Seminar WS2021/22: No edit summary
17 June 2024
- 22:1022:10, 17 June 2024 diff hist +139 N Categorical Künneth formulas Created page with "Categorical Künneth formulas Abstract: I discuss ongoing work aimed at establishing Künneth formulas for motives at a categorical level." current
- 22:0922:09, 17 June 2024 diff hist +29 AG-Seminar WS2021/22: No edit summary
3 June 2024
- 07:5307:53, 3 June 2024 diff hist +6 Étale motives of geometric origin No edit summary current
- 07:5207:52, 3 June 2024 diff hist +11 Étale motives of geometric origin No edit summary
- 07:5107:51, 3 June 2024 diff hist +697 N Étale motives of geometric origin Created page with " In "Étale motives", Cisinski and Déglise defined two finiteness conditions on étale motives: motives that come from geometry and motives that are dualisable over a st..."