2005-09-16

Wook Kim, Cornell University

Standard module conjecture for GSpin groups

A standard module I(\nu,\pi) is an induced representation of G where \nu is in the positive Weyl chamber and \pi is an irreducible tempered representation of M (P=MN). The standard module conjecture asserts that I(\nu,\pi) is irreducible if and only if the Langlands quotient J(\nu,\pi) is generic. I will talk about a proof of the conjecture for G=GSpin over a nonarchimedean field of characteristic 0, a brief history and its application to the functoriality to a generic transfer from GSpin to GL.