Mathematics Colloquium:
Date and time: Monday, July 17, 4:00 p.m.
Venue: Ramanujan Hall, Department of Mathematics
Host: Ravi Raghunathan
Speaker: Subhajit Jana
Affiliation: Queen Mary's College
Title: Analytic Newvectors and moments of central L-values
Abstract:
A reciprocity formula usually relates certain moments of two different families of L-functions that apparently have no connections between them. The first such formula was due to Motohashi who related a fourth moment of Riemann zeta values on the central line with a cubic moment of certain automorphic central L-values for GL(2).
In the first talk, we describe some instances of reciprocity formulas both in low and high-rank groups and give certain applications to subconvexity and non-vanishing of central L-values. This talk will be partly based on a few joint works with Nunes and Blomer--Nelson.