• Notes on the B+B+t theorem

    Updated: 2024-04-24 15:02:49
    A recent paper of Kra, Moreira, Richter, and Robertson established the following theorem, resolving a question of Erdös. Given a discrete amenable group , and a subset of , we define the Banach density of to be the quantity where the supremum is over all Følner sequences of . Given a set in , we […]

  • Marton’s conjecture in abelian groups with bounded torsion

    Updated: 2024-04-04 22:05:52
    Tim Gowers, Ben Green, Freddie Manners, and I have just uploaded to the arXiv our paper “Marton’s conjecture in abelian groups with bounded torsion“. This paper fully resolves a conjecture of Katalin Marton (the bounded torsion case of the Polynomial Freiman–Ruzsa conjecture (first proposed by Katalin Marton): Theorem 1 (Marton’s conjecture) Let be an abelian […]

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