Speaker: Yakov Varshavsky (Hebrew University, visiting MIT)

Title: From character sheaves to characters of Deligne-Lusztig representations via categorical traces. 

Abstract: A very important result of Lusztig asserts that characters of Deligne--Lusztig representations are obtained by the sheaf-to-function correspondence from character sheaves. The goal of my talk is to outline a proof of a generalization of this result using the categorical trace machinery. This is a joint work in progress with Dennis Gaitsgory and Nick Rozenblyum.