Categorical representations of reductive groups

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:Thursday, February 15
Time/Room:4:30pm - 5:30pm/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.