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Ingredients of the proof of decoupling

Introductory Workshop: Harmonic Analysis January 23, 2017 - January 27, 2017

January 24, 2017 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Larry Guth (Massachusetts Institute of Technology)
Location: MSRI: Simons Auditorium
Video

Ingredients Of The Proof Of Decoupling

Abstract

The ingredients of the proof In this lecture, we will learn the different tools that go into the proof of the decoupling theorem for the parabola. The ingredients are actually fairly simple: orthogonality, geometric estimates about how rectangles in different directions intersect each other, and induction on scales. It is remarkable how much leverage Bourgain and Demeter were able to get by looking at the problem at many scales. I will focus on this tool, and try to explain how looking at many scales helps us to get better estimates.

Supplements
27994?type=thumb Guth Notes 1.85 MB application/pdf Download
Video/Audio Files

Ingredients Of The Proof Of Decoupling

H.264 Video 06-Guth-2.mp4 348 MB video/mp4 rtsp://videos.msri.org/data/000/027/774/original/06-Guth-2.mp4 Download
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