Date/Time: Friday, September 18, 2020 - 15:30 to 16:30

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Sudhir Pujahari, The University of Hong Kong

Title: Arithmetic and statistics of sums of eigenvalues of Hecke operators

In the first part of the talk, we will discuss briefly the theory of Equidistribution. In the second part of the talk we will see the distribution of gaps between eigenvalues of Hecke operators in both horizontal and vertical settings. Moreover, we will deduce a stronger version of multiplicity...

Date/Time: Thursday, September 17, 2020 - 15:30 to 16:30

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Eshita Mazumdar, ISI Bangalore

Title: Two Extremal Problems on Set Addition

Typically an extremal problem deals with the problem of estimating the maximum or mini- mum possible cardinality of a collection of finite objects that satisfies certain requirements. In my talk I am going to present my most recent research works related to extremal problems. For a finite...

Date/Time: Wednesday, September 16, 2020 - 15:30 to 16:30

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Ramesh Manna, Indian Institute of Science

Title: Fourier integral operator, unique continuation property (UCP) and momentum ray transforms

In this talk, we prove the local smoothing estimate for Fourier integral operators with phase function $h(x, t, \xi)= x . \xi + t|\xi|$, and amplitude function $a(x,t, \xi)$ belongs to $S^m$, the symbol class of order m less or equal to 0. Such Fourier integral operators...

Date/Time: Tuesday, September 15, 2020 - 15:30 to 16:30

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Ashish Mishra, Universidade Federal Do Pará

Title: On representation theory of partition algebras for complex reflection groups

A basis of the centralizer algebra for the action of the complex reflection group G(r, p, n) on the tensor product of its reflection representa- tion was given by Tanabe, and for p = 1, the corresponding partition algebra was studied by Orellana. In this talk, we first define the partition...

Date/Time: Monday, September 14, 2020 - 15:30 to 16:30

Venue: SMS Conference Room (via GoogleMeet)

Speaker: Fouzul Atik, SRM University

Title: On equitable partition of matrices and some problems related to graph theory

A partition of a square matrix A is said to be equitable if all the block of the partitioned matrix have constant row sums and each of the diagonal block is of square order. A quotient matrix Q of a square matrix A corresponding to an equitable partition is a matrix whose entries are...