Regularized Periods of Automorphic Forms
| Joint IAS/PU Number Theory Seminar | |
| Topic: | Regularized Periods of Automorphic Forms |
| Speaker: | Atsushi Ichino |
| Affiliation: | Kyoto University |
| Date: | Thursday, February 14 |
| Time/Room: | 4:30pm - 5:30pm/Fine Hall 214 |
Following Jacquet, Lapid and Rogawski, we define a regularized period of an automorphic form on GL(n+1) x GL(n) along the diagonal subgroup GL(n) and express it in terms of the Rankin-Selberg integral of Jacquet, Piatetski-Shapiro and Shalika. This extends the theory of the Rankin-Selberg integrals to all automorphic forms on GL(n+1) x GL(n). We also discuss the case of unitary groups and give some application to the global Gan-Gross-Prasad conjecture in the endoscopic case. This
is a joint work with Shunsuke Yamana.