Thu, March 17, 2022
Public Access

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17
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2:00pm [2:30pm] Sudarshan Gurjar, IIT Bombay
Description:
DDT: Thursday, 17th March, 2:30 – 3:45 pm Venue : Ramanujan Hall, Department of mathematics. Title : Introduction to Lie group representations Abstract: In the first of the two talks that I will give, I will introduce representations of Lie groups and prove a few basic properties of them. This will prepare ground for the Peter Weyl theorem to be discussed in the second lecture. We have now a dedicated website where one can find the notes and resources from the past meets and announcements of the upcoming meetings: https://sites.google.com/view/rtag/

3:00pm
4:00pm  
5:00pm [5:00pm] Samir Shukla, IIT Mandi
Description:
Geometric Analysis seminar series. https://sites.google.com/math.iitb.ac.in/geometric-analysis/home Speaker: Samir Shukla (IIT Mandi) Time: March 17, Thursday, 5:00 pm (Indian Standard Time) Title: Spectral gap bounds for the simplicial Laplacian and an application to random complexes Abstract: Let L(G) denotes the Laplacian of a graph G. The second smallest eigenvalue of L(G) is called the spectral gap. In this talk, we discuss two spectral gap bounds for the reduced Laplacian of a simplicial complex. As an application we prove that, if the spectral gap of the Laplacian of skeleton of a simplicial complex is enough large, then its co-homology vanishes up to certain dimensions. We also see an application of these results in certain random complexes. This is a joint work with D. Yogeshwaran. Google Meet joining info Video call link: https://meet.google.com/yah-ckma-wcj Or dial: (US) +1 914-893-5944 PIN: 646 903 629#

6:00pm