Muthu Krishnamurthy, University of Iowa

Linear independence of automorphic L-functions and converse theorems

Abstract: A typical converse theorem characterizes automorphic representations
of the general linear group in terms of the analytic properties of a suitable
family of Rankin-Selberg L-functions. In this talk I will explain my work
(joint with Andrew Booker} which exploits the linear independence of automorphic
L-functions to generalize a converse theorem due to Cogdell and Piatetski-Shapiro.