Global twisted GGP conjecture for unramified quadratic extensions

Abstract: The twisted Gan--Gross--Prasad conjectures consider the restriction of representations from GL_n to a unitary group over a quadratic extension E/F. In this talk, I will explain the adaptation of the relative trace formula comparison used in previous work on the global GGP conjecture for unitary groups, to this twisted version. In particular, I will discuss the fundamental lemma that arises, which can be used to obtain the global twisted GGP conjecture (under some local assumptions) in the case that everything is unramified, and how it can be reduced to the Jacquet--Rallis fundamental lemma.

number theory

Audience: researchers in the topic

University of Arizona Algebra and Number Theory Seminar