**Date & Time:** Tuesday, October 21, 2014, 14:00-15:30.

**Venue:** Ramanujan Hall

**Title:** L-functions

**Speaker:** Ritabrata Munshi, TIFR Mumbai

**Abstract:** We will start by briefly recalling some of the tools from
analytic number theory which go into the study of L-functions. This will
include the summation formula, the trace formula (Petersson/Kuznetsov) and
the circle method. The main focus will be the subconvexity problem (and
its applications). We will briefly recall the ideas of Weyl and Burgess,
and then in some detail cover the amplification technique as developed by
Duke, Friedlander and Iwaniec. We will also discuss the works of Michel
and his collaborators. After discussing the scopes and shortfalls of the
amplification technique, we will move towards more current techniques. The
ultimate goal will be to discuss the status of GL(3) subconvexity.