Around the centrality property of character sheaves on a reductive groupOberseminar Darstellungstheorie

by Kostiantyn Tolmachov (Hamburg)

Friday May 16, 2025, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60/1.008 - Seminarraum (Mathezentrum)

I will report on two recent papers establishing some geometric and categorical properties of character sheaves. In one, joint with Gonin and Ionov, we give a new proof and an extension to non-unipotent setting of the t-exactness of the composition of Radon and Harish-Chandra transforms for character sheaves. In another, joint with Bezrukavnikov, Ionov and Varshavsky, we show that this can be used to compute the Drinfeld center of the abelian Hecke category attached to the same reductive group.