# Past Events

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...

Date/Time: Friday, September 11, 2020 - 11:00 to 12:00
Venue: SMS Conference Room
Speaker: Surojit Ghosh, University of Haifa
Title: Higher differentials in Adams spectral sequence

The E_2-term of the Adams spectral sequence may be identified with certain derived functors, and this also holds for other Bousfield-Kan types spectral sequence. In this talk, I'll explain how the higher terms of such spectral sequences are determined by truncations of functors, defined in terms...

Date/Time: Thursday, September 10, 2020 - 15:00 to 16:00
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Sazzad Ali Biswas , University of Copenhagen
Title: Non-abelian local root numbers and the Langlands' lambda functions

In his Ph.D thesis, John Tate attached local root numbers with characters of a non-Archimedean local field of characteristic zero. Robert Langlands (later P. Deligne ) proved the existence theorem of non-abelian local root numbers of higher dimensional complex local Galois representations. The...

Date/Time: Wednesday, September 9, 2020 - 15:00 to 16:00
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Prajamitra Bhuyan, Imperial College London
Title: Analysing the causal effect of London cycle superhighways on traffic congestion

Transport operators have a range of intervention options available to improve or enhance their networks. Such interventions are often made in the absence of sound evidence on resulting outcomes. Cycling superhighways were promoted as a sustainable and healthy travel mode, one of the aims of...

Date/Time: Tuesday, September 8, 2020 - 10:00 to 11:00
Venue: SMS Conference Room
Speaker: Rohit Kumar Mishra, University of Texas at Arlington
Title: Uniqueness and Injectivity questions for certain integral transforms

In this talk, we plan to introduce some important integral transforms which are crucial from an application point of view in various imaging modalities, such as medical imaging and geophysical imaging. First half of the talk will be a brief overview of our work related to...

Date/Time: Wednesday, July 1, 2020 - 16:00 to 17:00
Venue: Conference Room, School of Mathematical Sciences
Speaker: Dr. Anup Kumar Singh, IISER Berhampur
Title: Representation formulas for certain quadratic forms and a problem of constructing lifting maps between spaces of modular forms.

In this talk, we shall discuss the theta series associated with positive definite integral quadratic forms and some of its applications in getting formulas for the number of representations of positive integers by quadratic forms, using the theory of modular forms. The second part of this talk...