Members’ Seminar

Shimura Varieties and the Bernstein Center

The local Langlands conjecture (LLC) seeks to parametrize irreducible smooth representations of a p-adic group G in terms of Weil-Deligne parameters. Bernstein's theory describes the category of smooth representations of G in terms of points on a (disconnected) complex algebraic variety; the ring of regular functions is called the Bernstein center of G . I will review these theories and explain how the LLC enables one to define many interesting functions in the "stable" Bernstein center of G . I will explain how these functions play a role as test functions in the Langlands-Kottwitz approach to the study of Shimura varieties modulo p.

Date & Time

December 06, 2010 | 2:00pm – 3:00pm

Location

S-101

Speakers

Tom Haines

Affiliation

University of Maryland; von Neumann Fellow, School of Mathematics

Event Series

Categories