Harmonic Analysis Seminar: The multilinear Kakeya inequality

Seminar | May 1 | 1:10-2 p.m. | 736 Evans Hall

 Kubrat Danailov, UC Berkeley

 Department of Mathematics

A short proof of the multilinear Kakeya inequality of Bennett-Carbery-Tao will be presented. This proof (due to Guth, 2015) is based on induction on scales and the Loomis-Whitney inequality, without the nonlinear heat flow of the original proof. In a future lecture, this result will serve as an ingredient in the proof of the multilinear restriction and decoupling inequalities.