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From SFB1085 - Higher Invariants
Jump to navigationJump to search- 13:48, 7 July 2026 Purity of Motivic Cohomology in Mixed Characteristic (hist | edit) [550 bytes] Vom41941 (talk | contribs) (Created page with "Motivic cohomology is a cohomology theory that can be defined internally within Grothendieck's category of motives. Voevodsky developed this theory for smooth varieties, demonstrating its deep connections to algebraic cycles and algebraic K-theory. However, its behaviour in mixed characteristic remains less well understood. Building on recent advances by Bachmann, Elmanto, Morrow, and Bouis, in joint work with Bouis we establish a purity result over deeply ramified bases...")
- 14:46, 28 June 2026 The Cubes Functor of (∞,n)-Categories (hist | edit) [759 bytes] Vom41941 (talk | contribs) (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 The span-squares adjunction (hist | edit) [385 bytes] Wic42659 (talk | contribs) (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")
