Subhajit Jana, Queen Mary's College

Description

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.

Description
Ramanujan Hall, Department of Mathematics
URL
Ramanujan Hall, Department of Mathematics
Date
Mon, July 17, 2023
Start Time
4:00pm IST
Priority
5-Medium
Access
Public
Created by
DEFAULT ADMINISTRATOR
Updated
Sun, July 9, 2023 7:53am IST