**Date & Time:** Thursday, September 10, 2015, 17:30-18:30.

**Venue:** Ramanujan Hall

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

**Speaker:** Mrinmoy Datta, IIT Bombay

**Abstract:** In this series of talks, we would study 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 the first talk, I would
like to present some equivalent formulations of the question, answer the
question in small cases and develop some basic ingredients which will be
useful in the due course.