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09:5909:59, 22 January 2026 diff hist +1,356‎ N 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..." current
09:5809:58, 22 January 2026 diff hist +85‎ AG-Seminar WS2021/22: ‎No edit summary

12:4512:45, 16 December 2025 diff hist +554‎ N 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..." current
12:4412:44, 16 December 2025 diff hist +37‎ AG-Seminar WS2021/22: ‎No edit summary

09:3509:35, 20 October 2025 diff hist +883‎ N On Verdier Duality ‎ Created page with "Recent progress on the K-theory of "large" categories has raised interest in the algebraic K-theory of sheaves on locally compact Hausdorff spaces, which serves as a central stepping stone to modern approaches to assembly conjectures in K-theory and L-theory. A central ingredient for the computation of the K-theory of these sheaf categories is Verdier duality: The categories of sheaves and cosheaves agree when the target is a stable category. We present a category-theor..." current
09:3409:34, 20 October 2025 diff hist +19‎ AG-Seminar WS2021/22: ‎No edit summary

13:1713:17, 12 November 2024 diff hist +931‎ N Classification of n-connective (2n-2)-truncated spaces ‎ Created page with "Consider the relaxation of Eilenberg-MacLane spaces where we allow non-trivial homotopy groups in a band, instead of a single index. We inspect the case where the band stays o..." current
13:1613:16, 12 November 2024 diff hist +53‎ m AG-Seminar WS2021/22: ‎No edit summary

17:2017:20, 2 February 2024 diff hist +668‎ N Group completion of E n-spaces and infinite products ‎ Created page with "Joint work with Di Fraia and Ramzi. We prove that the functor given by group completion of E_n-monoids in the infinity category of spaces preserves arbitrary products for n at..." current
17:1817:18, 2 February 2024 diff hist +53‎ m AG-Seminar WS2021/22: ‎No edit summary