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On a conjecture of Marton

W. T. Gowers, Ben Green, Freddie Manners, Terence Tao

2025Annals of Mathematics12 citationsDOIOpen Access PDF

Abstract

We prove a conjecture of K. Marton, widely known as the polynomial Freiman--Ruzsa conjecture, in characteristic 2. The argument extends to odd characteristic, with details to follow in a subsequent paper.

Topics & Concepts

MathematicsConjecturePure mathematicsCombinatoricsPoint processes and geometric inequalities