School of Mathematics Seminars and Lectures

`A $GL(n)$ Converse Theorem'

by Prof. Muthukrishnan Krishnamurthy

Thursday, September 25, 2014 from to (Asia/Kolkata)
at Maths. Seminar Room (A-369)
Description Converse theorems provide a way of characterizing automorphic forms on $GL(n)$ using the analytic properties of certain ``twisted'' L-functions. I will talk on my recent work with Andrew Booker where
we complete the work of Cogdell and Piatetski-Shapiro to prove a converse theorem for automorphic representations of $GL(n)$ using analytic input from twists by unramified representations of $GL(n-1)$.