Periods and invariant functionals with respect to unitary groups

Time

Nov 9 2009 - 4:30pm - 5:30 pm

Location

MW 154

Speaker

Erez Lapid (Hebrew University)

Abstract

Let E/F be a quadratic extension of number fields. Jacquet developed the relative trace formula to show that a cuspidal representation pi of GL_n(A_E) is distinguished by the quasi-split unitary group wrt E/F if and only if pi is Galois invariant. I will discuss the local analogue of this question: what can be said about the space of functionals invariant under a unitary group.
(Joint work with Brooke Feigon and Omer Offen.)


Last updated by James Cogdell on 10/13/09