Commutative algebra seminar

M.Sc. project presentation

Monday, 17 July, 11 am

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Venue:  Ramanujan Hall
Host: J. K. Verma
Speaker: Pradyumna Datta, IIT Bombay

Title: Syzygies of toric ideals  and integer programming
Abstract: We shall present algorithms to find integer solutions of linear Diophantine equations using computations of syzygies of toric ideals using Grobner bases of polynomial ideals.

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.