University of Regensburg
Faculty of Mathematics

HomeAboutPeopleEventsResearchRTGGuest ProgrammeImpressum

From SFB1085 - Higher Invariants
Jump to navigationJump to search
Search for contributionsExpandCollapse
⧼contribs-top⧽
⧼contribs-date⧽
(newest | oldest) View (newer 50 | ) (20 | 50 | 100 | 250 | 500)

3 December 2025

22 November 2025

  • 12:4512:45, 22 November 2025 diff hist +631 N The cobordism spectrum of Poincare spacesCreated 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

6 November 2025

  • 09:5009:50, 6 November 2025 diff hist +1,235 N Duality for K-theory in motivic homotopy theoryCreated 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 motivesCreated 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

16 October 2025

25 September 2025

9 July 2025

  • 18:5118:51, 9 July 2025 diff hist +473 N Unfolding of symmetric monoidal (∞,n)-categoriesCreated 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 functorCreated 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

5 May 2025

14 April 2025

5 February 2025

13 January 2025

22 November 2024

5 November 2024

11 October 2024

9 October 2024

8 October 2024

3 October 2024

1 October 2024

23 September 2024

17 June 2024

3 June 2024

(newest | oldest) View (newer 50 | ) (20 | 50 | 100 | 250 | 500)
Personal Tools
  • Log in

  • Wiki Tools
  • Special page