Thu, March 17, 2022
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March 2022
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2:00pm [2:30pm] Sudarshan Gurjar, IIT Bombay
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:

5:00pm [5:00pm] Samir Shukla, IIT Mandi
Geometric Analysis seminar series. 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: Or dial: (US) +1 914-893-5944 PIN: 646 903 629#