Combinatorics Seminar

Sharp density bounds on the finite field Kakeya problem

Boris Bukh, Carnegie Melon University

Wednesday, October 19th, 2022
5:00 PM - 6:00 PM
Hylan 1106A

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.

Event contact: iosevich at gmail dot com