« Sharp Density Bounds on the Finite Field Kakeya Problem
February 28, 2022, 2:00 PM - 3:00 PM
Location:
Hill Center-Room 705
Boris Bukh, Carnegie Mellon University
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.