# Past Events

Date/Time:
Wednesday, December 2, 2020 - 14:30 to 15:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Mr. Archisman Bhattacharjee, SMS, NISER
Title: A proof of Horrocks' Theorem

Abstract: Horrocks' Theorem is an indispensable tool to prove Quillen-Suslin Theorem, which gives a sufficient condition for finitely generated projective modules to be free. In this talk, we will talk about a...

Date/Time:
Monday, November 16, 2020 - 10:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Ritwik Pal, IISc Bangalore
Title: On the magnitude and signs of Hecke eigenvalues of modular forms.

This talk broadly has two parts. The first one is about the signs of Hecke ...

Date/Time:
Thursday, November 12, 2020 - 14:30 to 15:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Mr. A S Abdul Shabeer, SMS, NISER
Title: Hurwitz's Formula for Compact Riemann Surfaces

Abstract: Given a holomorphic map between compact Riemann surfaces, Hurwitz's formula relates the genera of the domain and range with the degree and ramification of the map. We will see a...

Date/Time:
Tuesday, November 10, 2020 - 16:30 to 17:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Ritwik Pal, IISc Bangalore
Title: On the magnitude and signs of Hecke eigenvalues of modular forms.

This talk broadly has two parts. The first one is about the signs of Hecke ...

Date/Time:
Thursday, November 5, 2020 - 14:30 to 15:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Mr. Archisman Bhattacharjee, SMS, NISER
Title: Unimodular rows and its uses to prove Quillen–Suslin theorem

Abstract: In the first half of the talk we define unimodular rows over a ring R and see some of its basic properties. The completability of such unimodular rows can be viewed in...

Date/Time:
Wednesday, October 21, 2020 - 15:30 to 16:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Kamalakshya Mahatab, University of Helsinki
Title: Application of The Resonance Method in Analytic Number Theory

In this talk we will briefly talk about the resonance method and some recent progress in the theory of the Riemann zeta function. We will also see some new results on Hardy's Z function, Argument of the Riemann Zeta function, Dirichlet L- functions, Divisor problem and Circle problem as...

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...