Date/Time: Thursday, December 10, 2020 - 14:30 to 15:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Mr. A S Abdul Shabeer, SMS, NISER
Title: Plücker Formula
Abstract: Plücker Formula gives the genus of a smooth projective plane curve in terms of its degree, specifically, a curve of degree d has genus (d-1)(d-2)/2. We will first prove Bezout's theorem and as an application look at...
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: 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...
