


Analysis Seminar: Annual Progress Seminar
Thursday, 15 February, 3.30 pm
===============================
Venue: Room 215
Host: Sourav Pal
Speaker: Priyanka Aroda
Affiliation: IIT Bombay
Title: Geometric and function theoretic aspects of the tetrablock
Abstract: We study the tetrablock, a domain in \mathbb{C}^3 given by
\mathbb{E}=\left\{\left(x_1,x_2,x_3\right) \in \mathbb{C}^3 : \ 1x_1 zx_2 w+x_3 zw \neq 0 \ \ \text{for} \ \ z \leq 1,w \leq 1\right\}.\]The tetrablock is related to a certain functiontheoretic problem that arises in control engineering. We discuss several characterizations for the elements in$\mathbb{E}$ and in its closure. We present a set of necessary and sufficient conditions that provide a Schwarz lemma for $\mathbb{E}$. We also describe the automorphism group of $\mathbb{E}$.
Geometry and Number Theory seminar
Thursday, 15th February 2024, 4 pm5 pm
===========================
Venue: Ramanujan Hall
Host: K. Mallesham.
Speaker: Dr. Rahul Kumar Singh
Affiliation: IIT Patna
Title: Zero Mean Curvature Surfaces and Ramanujan's Identities
Abstract: In this talk, we discuss an interesting connection between examples of zero mean curvature surfaces in Euclidean and LorentzMinkowski 3space and some special Ramanujan identities.