The finite field Kakeya conjecture.

COMPUTER SCIENCE/DISCRETE MATH I
Topic:The finite field Kakeya conjecture.
Speaker:Zeev Dvir
Affiliation:Weizmann Institute
Date:Friday, May 23
Time/Room:2:00pm - 3:00pm/S-101

A Kakeya set in F^n , where F is a finite field, is a set containing a line in every direction. The finite field Kakeya conjecture states that the size of such sets is bounded from below by C_n*|F|^n , where C_n depends only on the dimension n . I will talk about the recent proof of this conjecture and its connection to problems in theoretical computer science.