Periods of Automorphic Forms Over a Compact Unitary Group

ARITHMETIC HOMOGENEOUS SPACES
Topic:Periods of Automorphic Forms Over a Compact Unitary Group
Speaker:Omer Offen
Affiliation:Weizmann Institute of Science
Date:Friday, September 23
Time/Room:11:00am - 12:30pm/S101

We use the recent developments of Jacquet in order to obtain an explicit expression for a compact unitary period of certain automorphic form on GL(n) in terms of special values of L-functions. Jacquet obtains a characterization of the image of quadratic base change, in terms of the non-vanishing of unitary periods using a relative trace formula identity. The starting point for our computation is an identity of Bessel distributions that follows from the relative trace formula. I will discuss the results of Jacquet and how to apply them in order to perform the explicit computations. This is a joint work with E. Lapid.