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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")
- 11:05, 19 May 2026 On the geometrization of synthetic spectra (hist | edit) [794 bytes] Wic42659 (talk | contribs) (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 Monadic resolutions for (generalized) spaces (hist | edit) [1,198 bytes] Vom41941 (talk | contribs) (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 Calabi—Yau structures on constructible sheaves categories (hist | edit) [762 bytes] Vom41941 (talk | contribs) (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 Presenting the stratified homotopy hypothesis (hist | edit) [812 bytes] Vom41941 (talk | contribs) (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 Complexes of stable ∞-categories and higher Segal conditions (hist | edit) [791 bytes] Cid36224 (talk | contribs) (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...")
