Partial Differential Equations and Applied Mathematics Seminar
Date/Time: June 1th, Thurs., 4:00 ~ 5:00 PM
Location: Science Building #262 Yonsei University
Speaker: Neal Bez
Affiliation: Saitama university, Japan
Title: Multilinear restriction and Kakeya estimates
Inspired by Guth's short proof of the multilinear Kakeya estimates of Bennett-Carbery-Tao, we extend these results in the case of subspaces of arbitrary dimension and, as a consequence, one rather general multilinear restriction estimates. The proof relies on an induction-on-scales argument along with a stability result for the Brascamp-Lieb inequality.