Soergel's Conjecture and Finitely Cogenerated Modules

par Vincent Gajda

jeudi 14 mars 2024, 14:00 → 15:00 Europe/Paris

Soergel's Conjecture predicts an equivalence between certain categories associated to representations of real reductive groups and categories of motives living on the ABV-parameter space, which can be considered as a variant of the space of Langlands' parameters. In this talk I discuss the proof of some special cases of a 'degrading version' of this conjecture, which predicts that the category of equivariant mixed Tate motives on the ABV-parameter space is a graded version of  a category of finitely cogenerated (g,K)-modules.