# Past Events

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:

**...**

Date/Time: Tuesday, April 4, 2017 - 19:00 to 20:00

Venue: Mathematics Seminar Hall

Speaker: Ritwik Mukherjee, NISER

Title: A few methods to compute De-Rham cohomology

We will discuss some methods to compute the De-Rham Cohomology of smooth manifolds. We will discuss how to apply Mayer-Vietoris (which is the analogue of Van-Kampen Theorem for (co)homology).

Date/Time: Monday, April 3, 2017 - 14:30 to 15:30

Speaker: Prof. Bart De Bruyn, Ghent University, Belgium

This will be the last lecture of a series of five on Finite Fields.

Date/Time: Friday, March 31, 2017 - 15:35 to 16:30

Speaker: Prof. Bart De Bruyn, Ghent University, Belgium

Title: Extremal generalized $2d$-gons

*Generalized $2d$-gons* are point-line geometries whose incidence graph has diameter $2d$ and girth $4d$. A generalized $2d$-gon is said to have *order* $(s,t)$ if every line is incident with precisely $s+1$ points and if every point is incident with precisely $t+1$ lines. If $\...

Date/Time: Friday, March 31, 2017 - 11:30 to 12:30

Speaker: Rajula Srivastava, NISER

Title: Graphs and Colourings

Abstract: Simply put, a graph is nothing but a set of points ("vertices"), along with edges which connect them. A planar graph is a special type of graph- one where the edges do not cross each other ( i.e., meet only at the vertices). In this talk, we will discuss an interesting problem in...

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