8:00am 


9:00am 
[9:30am] Wasim Akram
 Description:
Speaker: Wasim Akram
Title: Feedback stabilization of parabolic equations and its numerical
study
Date: 23rd November 2022 (Wednesday)
Time: 09:30 AM  10:30 AM
Venue: Ramanujan Hall, Dept. of Mathematics


10:00am 

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12:00pm 


1:00pm 


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4:00pm 
[4:00pm] Mathematics Colloquium: Antareep Mandal, IIT Madras
 Description:
 Mathematics Colloquium
Speaker: Antareep Mandal, IIT Madras
Venue: Ramanujan Hall
Date: 4 pm, 23 November 2022
Title: Uniform supnorm bounds for Siegel cusp forms
Abstract: Obtaining supnorm bounds for automorphic forms is a classical problem related to fundamental problems in analytic number theory as well as in arithmetic geometry, as, for example, the Lindelöf hypothesis for automorphic Lfunctions, quantum ergodicity and entropy bounds, or the study of Arakelov invariants of modular curves. This talk is about obtaining uniform supnorm bounds of Siegel cusp forms on average over an orthonormal basis using the heat kernel on Siegel upper halfspace. We employ various techniques from the theory of harmonic analysis on symmetric spaces and classical as well as spectral theories of automorphic forms.
First, we relate Siegel cusp forms to the bottom of the spectrum of the respective weighted SiegelMaass Laplacian. Then we construct and analyze the corresponding heat kernel to arrive at the conjectured optimal bounds for both cocompact and cofinite arithmetic subgroups of the symplectic group. Further, we show that these bounds are uniform over a tower of arithmetic subgroups of finite index.


5:00pm 


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