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« Sharp Density Bounds on the Finite Field Kakeya Problem

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.