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Department of Mathematics,
University of California San Diego

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MATH 248 - Seminar In Real Analysis

Prof. Shukun Wu

Caltech

An improvement on the three-dimensional restriction problem

Abstract:

Stein's restriction conjecture is one of the central topics in Fourier analysis. It is closely related to other areas of math, for example, number theory, PDEs. In this talk, I will discuss a recent improvement of this conjecture in R^3, based on the joint work with Hong Wang. Our proof is built upon the framework of polynomial partitioning, and, among other things, it uses the refined decoupling theorem, a two-ends Kakeya estimate. The two-ends estimate captures some information from the method of induction on scales.

Host: Prof. Ioan Bejenaru

May 9, 2023

11:00 AM

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