# Past Events

Date/Time: Saturday, June 24, 2017 - 15:30 to 16:30
Venue: Seminar Room, School of Mathematical Sciences
Speaker: Dr. Soumyashant Nayak, University of Pennsylvania
Title: The Many Forms of the Pythagorean Theorem

The well-known Pythagorean theorem which relates the lengths of sides of a right triangle to the length of the hypotenuse dates as far back in time as the Babylonians. Later in school when one gets a flavour of trigonometry, this result is neatly packaged in the equation $cos^2 \theta + sin^2 \... Date/Time: Monday, June 19, 2017 (All day) to Saturday, July 1, 2017 (All day) Venue: Seminar Room, SMS The purpose of SOPM... Date/Time: Thursday, June 15, 2017 - 11:30 to 12:30 Venue: SMS Seminar Hall Speaker: Dr Saswata Adhikari, IIT Madras Title: Frames of twisted shift-invariant spaces in$L^{2}(\mathbb{R}^{2n})$and shift-invariant spaces on the Heisenberg group Abstract: A well known result on translates of a function$\varphi$in$L^{2}(\mathbb{R})$states that the collection$\{\tau_{k}\varphi: k\in\mathbb {Z}\}$forms an orthonormal system in$L^{2}(\mathbb{R})$iff$p_{\varphi}(\xi)=\sum\limits_{k\in\mathbb {Z}}|\widehat{\varphi...

Date/Time: Tuesday, May 30, 2017 - 11:30
Venue: Seminar Hall, SMS
Speaker: Anup Dixit, University of Toronto
Title: On the generalized Brauer-Siegel Theorem

For a number field K over Q, there is an associated invariant called the class number, which captures how far the ring of integers of K, is from being a principal ideal domain (PID). The study of class numbers is an important theme in algebraic number theory. In order to understand how the...

Date/Time: Tuesday, May 23, 2017 - 16:00 to 17:00
Venue: Seminar Room, School of Mathematical Sciences
Speaker: Dr. Rohit Dilip Holkar, IISER Pune
Title: Locally free actions of groupoids and proper correspondences
Date/Time: Friday, April 21, 2017 - 11:35 to 12:35
Venue: SMS Seminal Hall
Speaker: Samir Shukla, IIT Kanpur
Title: Connectedness of Certain Graph Coloring Complexes
Abstract: The Kneser Conjecture was proved by Lovasz, using the Borsuk Ulam Theorem. Lovasz introduced the notion of a simplicial complex called the neighborhood complex for a graph $G$ with an aim of estimating the chromatic number of any graph by the connectivity of its...
Date/Time: Wednesday, April 19, 2017 - 09:35 to 10:30
Venue: Seminar Hall
Speaker: Professor Arup Bose, ISI Kolkata
Title: IIntroduction to free independence

Abstract: Independence is a fundamental idea in probability theory. This is the same as product measures with total measure 1.
However, for non-commutative structures, the classical definition of independence does not work. This gave rise to the concept
of free independence as...

Date/Time: Tuesday, April 18, 2017 - 09:30 to 10:30
Venue: LH-5
Speaker: Professor Mahan MJ, TIFR, Mumbai
Title: What is hyperbolic geometry?

Abstract: We shall discuss Euclid's problem of trying to derive the parallel postulate from the remaining axioms.

Date/Time: Thursday, April 13, 2017 - 15:30 to 16:30
Venue: M4
Speaker: Prof. S. Krishnan, IIT Bombay
Title: Hook Immanantal and Hadamard inequalities for q-Laplacians of trees
$\textbf{Abstract:}$ Let $T$ be a tree on $n$ vertices with Laplacian matrix $L$ and $q$-Laplacian $\mathcal{ L}_q$. Let $\chi_k$ be the character of the irreducible representation of $\mathfrak{S}_n$ indexed by the hook partition $k,1^{n-k}$ and let $\overline{ d}_k(L)$ be...
Date/Time: Monday, April 10, 2017 - 17:30 to 18:30
Venue: Mathematics Seminar Room
Speaker: Vellat Krishna Kumar, NISER
Title: On the dimension of the L^2[0, ∞) span of n linearly independent L^2_loc [0, ∞) functions

In this talk we explore the problem of determining the dimension of the L^2 [0, ∞)span of n linearly independent L^2_ loc [0, ∞) functions and the fascinating geometry associatedwith it. This problem appears in the context of Weyl’s limit classification problems of formallysymmetric differential...

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