Categorical representations of reductive groups

Categorical representations of reductive groups

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David Ben-Zvi, University of Texas, Austin
Fine Hall 214

The representation theory of reductive groups on categories is the geometric counterpart to the representation theory of reductive groups over finite fields. I will describe, following joint work with Sam Gunningham, a geometric counterpart for Lusztig's Jordan decomposition for characters, a finite field shadow of the local Langlands correspondence. Our construction combines the familiar commutativity and less familiar centrality of the theory of Whittaker models.