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
Zoom
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