JOINT PRINCETON UNIVERSITY/INSTITUTE FOR ADVANCED STUDY NUMBER THEORY SEMINAR

4/26/2004

Ben Brubaker
Stanford University


Metaplectic Eisenstein Series and Analytic Continuations of Dirichlet Series

Abstract

We will review the definition of Eisenstein series on the metaplectic group and show how they led to the notion of "multiple Dirichlet series," Dirichlet series whose numerator is again a Dirichlet series. We'll look at some interesting examples and new results using the methods of multiple Dirichlet series will be surveyed. Finally, we discuss the broader context of these examples as a result of very recent joint work with Daniel Bump.