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Discrete Math

Sharp density bounds on the finite field Kakeya problem

Boris Bukh (Carnegie Mellon)

Location:  Hill Center Room 705
Date & time: Monday, 28 February 2022 at 2:00PM - 3:00PM

Abstract: 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. 

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