On triple product L-functions

Abstract: Establishing the conjectured analytic properties of triple product L-functions is a crucial case of Langlands functoriality. However, little is known. I will present work in progress on the case of triples of automorphic representations on GL_3; in some sense this is the smallest case that appears out of reach via standard techniques. The approach involves a relative trace formula and Poisson summation on spherical varieties in the sense of Braverman-Kazhdan, Ngo, and Sakellaridis.

number theory

Audience: researchers in the topic

UCLA Number Theory Seminar