From Character Sheaves to Characters of Deligne–Lusztig Representations via Categorical Traces

Mon Nov 18, 2024 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Geometry, Symmetry and Physics

Event time: 
Monday, November 18, 2024 - 4:30pm

Location: 
KT 801

Speaker: 
Yakov Varshavsky

Speaker affiliation: 
Hebrew University (visiting MIT)

Event description: 
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.

Research Area(s): 
Algebraic Geometry
Representation Theory