Speaker: 

Boris Bukh

Institution: 

Carnegie Mellon University

Time: 

Wednesday, March 8, 2023 - 2:00pm to 3:00pm

Host: 

Location: 

RH 510R

 A set is Kakeya if it contains a line in every direction. We prove that every Kakeya set in the $n$-space over $F_q$ has at least
$2^{-n+1}*q^n$ elements. This is sharp up to the lower-order terms. Joint work with Ting-Wei Chao.