# 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.