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...
