On a conjecture of Marton

Tim Gowers, Ben Green, Freddie Manners, and I have just uploaded to the arXiv our paper “On a conjecture of Marton“. This paper establishes a version of the notorious Polynomial Freiman–Ruzsa conjecture (first proposed by Katalin Marton): Theorem 1 (Polynomial Freiman–Ruzsa conjecture) Let be such that . Then can be covered by at most translates […]