A study guide for the ${\ell }^2$ decoupling theorem for the paraboloid

Abstract

This article serves as a study guide for the ${\ell }^2$ decoupling theorem for the paraboloid originally proved by Bourgain and Demeter. Given its popularity and importance, many expositions about the ${\ell }^2$ decoupling theorem already exist. Our study guide is intended to complement and combine these existing resources in order to provide a more gentle introduction to the subject.

77 pages, 3 figures. Study guide written at UPenn Study Guide Writing Workshop 2023 https://sites.google.com/view/studyguideworkshop2023/home