Work

On a conjecture of Marton

Year: 2025

Type: article

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.

Source: Annals of Mathematics

DOI: 10.4007/annals.2025.201.2.5

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

Institutions: Collège de France, University of Cambridge, University of Oxford, University of California San Diego, University of California, Los Angeles

Language: English

Topic: Limits and Structures in Graph Theory

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, University of California, San Diego, Simons Institute for the Theory of Computing, University of California Berkeley, Division of Mathematical Sciences

Awards: G7427173984, Finite time blowup for supercritical equations, and correlations of multiplicative functions

OpenAlex ID: W4408419148

FWCI: 42.22

Cites:

Cited by: 18

Related to: 10