Study guide for "On restricted projections to planes in $\mathbb R^3$"

Tainara Borges; Siddharth Mulherkar; Tongou Yang

Study guide for "On restricted projections to planes in $\mathbb R^3$"

Classical Analysis and ODEs 2024-11-01 v2

Authors: Tainara Borges , Siddharth Mulherkar , Tongou Yang

Abstract

This article is a study guide for ``On restricted projections to planes in $\mathbb R^3$ " [arXiv:2207.13844] by Gan, Guo, Guth, Harris, Maldague and Wang. We first present the main problems and preliminaries related to restricted projections in $\mathbb R^3$ . Then we introduce the high-low method and decoupling, which are the two central and novel ideas in their proofs. We hope to provide as many details as possible so that this study guide is self-contained, with the only exception of the Bourgain-Demeter decoupling inequality for curves in the appendix.

Keywords

projective geometry differential geometry incidence geometry of points and lines

Cite

@article{arxiv.2403.17989,
  title  = {Study guide for "On restricted projections to planes in $\mathbb R^3$"},
  author = {Tainara Borges and Siddharth Mulherkar and Tongou Yang},
  journal= {arXiv preprint arXiv:2403.17989},
  year   = {2024}
}

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Study guide for "On restricted projections to planes in $\mathbb R^3$"

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