|COMPUTER SCIENCE/DISCRETE MATH I|
|Topic:||The finite field Kakeya conjecture.|
|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.