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Seminar Details

Sharp Density Bounds on the Finite Field Kakeya Problem

  • Start Date: February 28, 2022
  • Event Start Time: 2:00 PM
  • Event End Time: 3:00 PM
  • Seminar Series: Rutgers Discrete Mathematics Seminar
  • Presenter(s): Boris Bukh - Carnegie Mellon University
  • Event Location: Hill Center-Room 705
  • Presentation Type: Stand Alone Presentation
  • 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.