# Past Events

Date/Time:
Thursday, June 15, 2017 - 11:30 to 12:30
Venue: SMS Seminar Hall
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...

Date/Time:
Monday, April 10, 2017 - 11:30 to 12:30
Venue: Seminar Room, School of Mathematical Sciences
Speaker: Dr. Anirban Bose,
Title: Real elements in groups of type F4
Date/Time:
Thursday, April 6, 2017 - 10:35 to 11:30
Venue: SMS Seminar Room
Speaker: Nabin Kumar Jana, NISER, Bhubaneswar

This is the third lecture on this topic with the following:

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