Modul:   MAT760  Ergodic Theory and Dynamical Systems Seminar

On a sumset conjecture of Erdos and its generalizations

Vortrag von Dr. Florian Richter

Datum: 02.05.22  Zeit: 14.05 - 15.05  Raum: ETH HG G 43

In this talk we will investigate the question -- based on problems attributed to Erdos -- of whether every subset of the integers with positive density contains a sumset B_1+...+B_k where B_1,...,B_k are infinite sets. We will present a purely ergodic-​theoretic approach to this topic. Our method relies on a newfound connection between k-​fold sumsets in the integers and return times of orbits in k-​fold joinings of measure preserving systems arising from the Host-​Kra structure theory. This talk is based on joint work with Bryna Kra, Joel Moreira, and Donald Robertson.