The proof of the l² Decoupling Conjecture

2015/04/15 by Jean Bourgain, Ciprian Demeter · 16 citations
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Mathematical Dynamics and Fractals

paper · pdf · doi:10.4007/annals.2015.182.1.9

Abstract

We prove the l 2 Decoupling Conjecture for compact hypersurfaces with positive definite second fundamental form and also for the cone. This has a wide range of important consequences. One of them is the validity of the Discrete Restriction Conjecture, which implies the full range of expected L p

Citations

• On the multilinear restriction and Kakeya conjectures

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