Date & Time: Thursday, October 1, 2015, 18:30-19:30.
Venue: Ramanujan Hall

Title: Number of rational points on varieties over finite fields and applications

Speaker: Mrinmoy Datta, IIT Bombay

Abstract: This series of talks is directed towards various results concerning maximum possible number of rational points on (not necessarily irreducible) varieties defined over a finite field and its application to computing higher weights of Reed-Muller codes. In this talk I would state the Tsfasman Boguslavsky conjecture, a result by Zanella towards the same and prove some auxiliary results which will help in resolving the conjecture.