The Presend State of the Jacquet-Rallis trace formula

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).