Central L-Values of U(3) x U(2), Non-Vanishing and Subconvexity

Explore a Fields Number Theory Seminar lecture on the Rankin-Selberg L-function L(s, f x g) for holomorphic cusp forms on U(2,1) and U(1,1). Delve into joint research by Dinakar Ramakrishnan, Philippe Michel, and Liyang Yang, examining non-vanishing results at central values and hybrid subconvexity in the level aspect. Learn about averaging over families of f with varying square-free levels and the technical considerations for even integers k ≥ 260. Gain insights into the base change to GL over relevant imaginary quadratic fields and its implications for number theory.

Central L-values of U(3) x U(2), non-vanishing and subconvexity