Fri, October 18, 2019
Public Access


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4:00pm [4:15pm] Mrinal Kumar : Computer Science Department, IIT Bombay
Description:
CACAAG seminar. Speaker: Mrinal Kumar. Affiliation: Computer Science Department, IIT Bombay. Date and Time: Friday 18 October, 4:15 pm - 5:15 pm. Venue: Ramanujan Hall, Department of Mathematics. Title: Introduction to the Polynomial Method in Combinatorics II (Lower bounds on Kakeya sets over finite fields). Abstract: For a finite field F, a Kakeya set is a subset of F^n that contains a line in every direction. We will discuss a result of Dvir showing a lower bound of C_n*q^n on the size of any Kakeya set over F^n, where C_n only depends on n and F is a finite field of size q.

5:00pm
6:00pm