On a conjecture of Marton
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.
Authors
- W. T. Gowers (ORCID: https://orcid.org/0000-0002-5168-0785)
- Freddie Manners (ORCID: https://orcid.org/0009-0008-1763-2289)
- Terence Tao (ORCID: https://orcid.org/0000-0002-0140-7641)
- Ben Green (ORCID: https://orcid.org/0000-0002-2224-1193)
Institutions
- University of California, Los Angeles (US)
- Collège de France (FR)
- University of Cambridge (GB)
- University of California San Diego (US)
- University of Oxford (GB)
Publication Details
- Journal
- Annals of Mathematics
- Published
- 2025-03-01
- DOI
- https://doi.org/10.4007/annals.2025.201.2.5
- Citations
- 10
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 37.27
Funders
- National Science Foundation
- University of California, San Diego
- Simons Institute for the Theory of Computing, University of California Berkeley
- Division of Mathematical Sciences