Modular Gelfand pairs and multiplicity-free triples

Abstract: The classical theory of Gelfand pairs and its generalizations over the complex numbers has many applications to number theory and automorphic forms, such as the uniqueness of Whittaker models and the non-vanishing of the central value of a triple product L-function. With an eye towards similar applications in the modular setting, this talk presents an extension of the classical theory to representations of finite groups over algebraically closed fields whose characteristics possibly divide the orders of the groups.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Columbia Automorphic Forms and Arithmetic Seminar