Venue: Conference Room, School of Mathematical Sciences
Speaker: Rekha Biswal, Max Planck Institute for Mathematics, Bonn
Title: Macdonald polynomials and level two Demazure modules for affine sl_{n+1}
An important result due to Sanderson and Ion says that characters of level one Demazure modules are Macdonald polynomials specialized at t=0. In this talk, I will introduce a new class of symmetric polynomials expressed as linear combination of Macdonald polynomials....
Date/Time: Wednesday, March 25, 2020 - 16:10 to 17:10
Venue: Seminar room
Speaker: 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...
Date/Time: Friday, March 20, 2020 - 14:30 to 15:15
Venue: SMS Seminar Hall
Speaker: A S Abdul Shabeer, SMS, NISER
Title: Hurwitz's Formula for Compact Riemann Surfaces.
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. Hence, given two compact Riemann surfaces we get a restriction on the possible types of holomorphic maps between them. In particular...
