Bessel Periods for $U(3)\times U(2)$: Nonvanishing and Equidistribution

Abstract: We will introduce a simple relative trace formula to compute the second moment of Bessel periods associated to $U(3)\times U(2)$. Moreover, we explore its arithmetic implications, addressing the quantitative nonvanishing problem, and the distribution in the weighted vertical Sato-Tate context. This is joint work with Dinakar Ramakrishnan and Philippe Michel.

number theory

Audience: researchers in the topic

University of Arizona Algebra and Number Theory Seminar