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Presented By: Algebraic Geometry Seminar - Department of Mathematics

Algebraic Geometry Seminar: Generic character sheaves on parahoric subgroups

Charlotte Chan (UM)

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 some basic algebro-geometric techniques underlying this theory and explain the need for a theory of character sheaves on jet schemes of reductive groups from the perspective of the Langlands program. Recently, R. Bezrukavnikov and I have developed the "generic" part of this desired theory. In the simplest nontrivial case, this resolves a conjecture of Lusztig and produces perverse sheaves on jet schemes compatible with parahoric Deligne--Lusztig induction.

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