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GLNT: Generic character sheaves for parahoric subgroups

Charlotte Chan (UM)
Monday, September 18, 2023
4:15-5:30 PM
3088 East Hall Map
Abstract: Lusztig's theory of character sheaves for connected reductive groups is one of the most important developments in representation theory in the last few decades. In this talk, I will describe a construction which extends this "depth zero" picture to give positive-depth character sheaves associated to generic data. In the simplest nontrivial case, this resolves a conjecture of Lusztig and produces perverse sheaves associated to sufficiently generic multiplicative local systems whose trace-of-Frobenius function coincides with parahoric DeligneLusztig induction. This is joint work with R. Bezrukavnikov.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics, Number Theory
Source: Happening @ Michigan from Group, Lie and Number Theory Seminar - Department of Mathematics, Department of Mathematics