Twisted GGP conjecture for unramified quadratic extensions

Danielle Wang (MIT)

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 relative trace formula approach to the global twisted GGP conjecture. In particular, I will discuss how the fundamental lemma that arises can be reduced to the Jacquet–Rallis fundamental lemma, which allows us to obtain the global twisted GGP conjecture under some unramified-ness assumptions and local conditions.