{"batchcomplete":"","continue":{"lecontinue":"20251122114507|556","continue":"-||"},"query":{"logevents":[{"logid":566,"ns":0,"title":"Monadic resolutions for (generalized) spaces","pageid":352,"logpage":352,"params":{},"type":"create","action":"create","user":"Vom41941","timestamp":"2026-05-01T08:00:22Z","comment":"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 \u2014 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...\""},{"logid":565,"ns":0,"title":"Calabi\u2014Yau structures on constructible sheaves categories","pageid":351,"logpage":351,"params":{},"type":"create","action":"create","user":"Vom41941","timestamp":"2026-04-24T16:48:12Z","comment":"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\u2014Yau structure. Brav\u2014Dyckerhoff 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\u2014Yau structure on the k-...\""},{"logid":564,"ns":0,"title":"Presenting the stratified homotopy hypothesis","pageid":350,"logpage":350,"params":{},"type":"create","action":"create","user":"Vom41941","timestamp":"2026-04-17T19:48:52Z","comment":"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\u2019s construction of the infinity-category of exit-pa...\""},{"logid":563,"ns":0,"title":"Complexes of stable \u221e-categories and higher Segal conditions","pageid":349,"logpage":349,"params":{},"type":"create","action":"create","user":"Cid36224","timestamp":"2026-04-15T12:38:08Z","comment":"Created page with \"Title: Complexes of stable \u221e-categories and higher Segal conditions  Abstract: There exists an equivalence of (\u221e,2)-categories between the (\u221e,2)-category of complexes of stable \u221e-categories and that of 2-simplicial stable \u221e-categories, established by Dyckerhoff, which categorifies the classical Dold\u2013Kan 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...\""},{"logid":562,"ns":0,"title":"K-theoretic Poitou-Tate duality & the heart of D^b of locally compact abelian groups","pageid":348,"logpage":348,"params":{},"type":"create","action":"create","user":"Wic42659","timestamp":"2026-01-22T07:59:55Z","comment":"Created page with \"(joint with Fei Ren, Wuppertal University)  Number theory part: I will give a little introduction to K-theoretic Artin maps \u00e0 la Clausen and K-theoretic Poitou-Tate duality \u00e0 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...\""},{"logid":561,"ns":0,"title":"A generalisation of Day convolution for operad-like structures","pageid":347,"logpage":347,"params":{},"type":"create","action":"create","user":"Ghd08439","timestamp":"2026-01-16T13:24:48Z","comment":"Created page with \"A fundamental construction in higher algebra is that of Day convolution. This construction, if it exists, defines an internal hom-object in the \u221e-category of \u221e-operads. In this talk, I will describe an explicit condition for the existence of such internal hom-objects for other operad-like structures. Even in the case of \u221e-operads, our proof is very different from previous constructions. The existence condition we obtain is very similar to the Conduch\u00e9 criterion fo...\""},{"logid":560,"ns":0,"title":"A generalisation of Day convolution for Operad-like structures","pageid":346,"logpage":346,"params":{},"type":"create","action":"create","user":"Ghd08439","timestamp":"2026-01-16T13:22:16Z","comment":"Created page with \"A fundamental construction in higher algebra is that of Day convolution. This construction, if it exists, defines an internal hom-object in the oo-category of oo-operads. In this talk, I will describe an explicit condition for the existence of such internal hom-objects for other operad-like structures. Even in the case of oo-operads, our proof is very different from previous constructions. The existence condition we obtain is very similar to the Conduch\u00e9 criterion for d...\""},{"logid":559,"ns":0,"title":"Semifree isovariant Poincar\u00e9 spaces and the gap condition","pageid":345,"logpage":345,"params":{},"type":"create","action":"create","user":"Vom41941","timestamp":"2026-01-13T12:42:58Z","comment":"Created page with \"The study of group actions on manifolds is a classical problem in geometric topology. In this talk, I will introduce the notion of isovariant G-Poincar\u00e9 spaces, a homotopical notion interpolating between closed smooth G-manifolds and G-Poincar\u00e9 spaces. The main result shows that, for a periodic finite group G and under suitable codimension hypothesis, the space of isovariant structures on a G-Poincar\u00e9 space is highly connected. This is a useful tool for constructing m...\""},{"logid":558,"ns":1,"title":"Talk:AG-Seminar WS2021/22:","pageid":344,"logpage":344,"params":{},"type":"create","action":"create","user":"Vom41941","timestamp":"2026-01-13T12:41:24Z","comment":"Created page with \"The study of group actions on manifolds is a classical problem in geometric topology. In this talk, I will introduce the notion of isovariant G-Poincar\u00e9 spaces, a homotopical notion interpolating between closed smooth G-manifolds and G-Poincar\u00e9 spaces. The main result shows that, for a periodic finite group G and under suitable codimension hypothesis, the space of isovariant structures on a G-Poincar\u00e9 space is highly connected. This is a useful tool for constructing m...\""},{"logid":557,"ns":0,"title":"Grothendieck-Witt theory of pushouts","pageid":343,"logpage":343,"params":{},"type":"create","action":"create","user":"Wic42659","timestamp":"2025-12-16T10:45:28Z","comment":"Created page with \"Given a Poincar\u00e9-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...\""}]}}