3. Harmonic Analysis Seminar.
Speaker:  Iswarya Sitiraju (Louisiana State University)
Title: ANALYTIC WAVEFRONT SETS OF SPHERICAL
DISTRIBUTIONS ON THE DE SITTER SPACE
Time, Day and Date: 10:30 a.m., Wednesday, September 4
Venue: Online (Zoom): https://meet.google.com/kmo-osxt-zqh

Abstract: In this work, we determine the wavefront set of certain eigendistributions of the Laplace-Beltrami operator on the de Sitter space. Let G' = {O}_{1,n}(R) be the Lorentz group, and let H' = {O}_{1,n-1}(R) ' be its subset. The de Sitter space dS^n is a one-sheeted hyperboloid in R^{1+n} isomorphic to G'/H'. A {\it spherical distribution} is an H'-invariant eigendistribution of the Laplace-Beltrami operator on dS^n. The space of spherical distributions on the de Sitter space with eigenvalue \lambda, denoted by {D}'_{\lambda}, has dimension 2. We construct a basis for the space of positive-definite spherical distributions as boundary values of sesquiholomorphic kernels on the crown domains, which are open complex domains in dS^n_{C} containing dS^n on the boundary.

We then characterize the analytic wavefront set for such distributions.

4. Number Theory Seminar.
Speakers: Aditi Savalia
Title: Spectral Theory of Automorphic Forms
Time, Day and Date: 11:30 a.m., Wednesday, September 4
Venue: Room 215, Department of Mathematics

Title: Operads and Infinite loop space theory

Time, Day and Date: 11:30 a.m,  Wednesday 4th September 2024.

Venue: Ramanujan hall

Host: Rekha Santhanam

Speaker: Sahin Mandal

Abstract:
 This is the second talk in the  series of talks  on Opera’s and Infinite
loop space theory. In this talk we will see the definition of operads and
various examples.

Colloquium:
Speaker: Ayan Bhattacharya (IIT Bombay)
Title: Persistence of heavy-tailed sample averages: principle of infinitely many big jumps
Time, Day and Date: 4:00 p.m., Wednesday,  September 4
Venue: Ramanujan Hall, Department of Mathematics