ABSTRACT:
Raphael Beuzart-Plessis, who is visiting the institute, will
be discussing his recent work on the local Gross-Prasad conjecture for unitary groups, which he has proved at least in the tempered case. His proof was inspired by Waldspurger's work on the Gross-Prasad conjecture for orthogonal groups, which in turn was motivated by Arthur's work on the local trace formula.
As preparation of sorts for his talk, I would like to give a very brief introduction to Arthur's local trace formula. If possible and if time permits I will try to mention a few analogies with some of the constructs found in the works of Waldspurger and Beuzart-Plessis.