Seminario / Martin
Number Theory Seminar
8 November 14:00-15:30
University of Oklahoma
Title: Values of quaternionic modular forms
Abstract: The Eichler-Shimizu-Jacquet-Langlands correspondence relates classical modular forms to modular forms on quaternion algebras. Trivial weight modular forms on definite quaternion algebras, which correspond to weight 2 elliptic modular forms, are simply functions on finite sets of ideal classes. We will explain some things one can say about the values of these functions, and describe applications to congruences of elliptic/Hilbert modular forms and nonvanishing of L-values.