paper

Decoupling estimates in Fourier analysis

arXiv:2207.00652

Abstract

Decoupling is a recent development in Fourier analysis, which has applications in harmonic analysis, PDE, and number theory. We survey some applications of decoupling and some of the ideas in the proof. This survey is aimed at a general mathematical audience. It is based on my 2022 ICM talk.

31 pages

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