# Past Events

Date/Time: Thursday, June 15, 2017 - 11:30 to 12:30

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

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

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

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

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

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

Speaker: Nabin Kumar Jana, NISER, Bhubaneswar

Title: Radon-Nikodym theorem and conditioning

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

**...**

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**School of Mathematical Sciences**

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