## The Presend State of the Jacquet-Rallis trace formula

Pierre-Henri Chaudouard

IMJ PRG

March 9, 2018

Abstract: The Jacquet-Rallis trace formula is a powerful tool to

study periods of automorphic forms of unitary groups that show

up in Ichino-Ikeda conjecture. In this talk, I will report on the

present state of the Jacquet-Rallis trace formula. Then I will

discuss the problem of the spectral expansion. (joint work with Michal

Zydor).

study periods of automorphic forms of unitary groups that show

up in Ichino-Ikeda conjecture. In this talk, I will report on the

present state of the Jacquet-Rallis trace formula. Then I will

discuss the problem of the spectral expansion. (joint work with Michal

Zydor).