The HADES seminar on Tuesday, November 19th, will be at 2:00pm in Room 740.

Speaker: Arian Nadjimzadah (UCLA)

Abstract: In this talk, we describe the deep connection between oscillatory integrals and curved Kakeya problems that was observed by Bourgain. Then we sketch some of the key discoveries in the study of the classical Kakeya problem in ${\mathbb{R}}^3$, and see how they can inform an approach to solving curved Kakeya problems. The results we will discuss are Wolff’s hairbrush bound, the $S{L}_2$ Kakeya set bound of Katz-Wu-Zahl, and the multilinear Kakeya inequality of Bennett-Carbery-Tao.