Number theory seminar
Date and time: Monday, 28th November 2022, 4 pm
Venue: Ramanujan Hall
Speaker: Anatareep Mandal, IIT Madras
Title: Heat kernel analysis and the sup-norm bound problem - A deeper dive
Abstract: This is in continuation of the earlier talk on 'Uniform sup-norm bounds for Siegel cusp forms' last week. We elaborate on Flensted-Jensen's complex reduction technique for calculating spherical functions on real groups by reducing it to the complex case and then take a deeper dive into the estimation of sup-norm bound problem for cusp forms via analysis of heat kernels constructed using Flensted-Jensen's method.