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.