|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Categorical representations of reductive groups|
|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.