High dimensional Kakeya maximal estimates via polynomial partitioning

Nom de l'orateur
Jonathan Hickman
Etablissement de l'orateur
University of St Andrews
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires

I will describe an approach to studying the Kakeya maximal function in high dimensions via the Guth--Katz polynomial partitioning method. Although the approach does not currently produce better bounds than the record set by Katz--Tao, it is rather flexible, provides a lot of interesting structural information and gives rise to some interesting algebraic/geometric problems.