Joint IAS/Princeton University Number Theory Seminar

Topic: Categorical representations of reductive groups

Speaker: David Ben-Zvi

Affiliation: University of Texas, Austin; Member, School of Mathematics

Date & Time: Thursday February 15th, 2018, 4:30pm - 5:30pm

Location: Fine Hall 214, Princeton University

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.