Institute of Mathematics


Modul:   MAT760  Ergodic Theory and Dynamical Systems Seminar

On a sumset conjecture of Erdős and its generalizations

Talk by Dr. Florian Richter

Date: 04.04.22  Time: 14.05 - 15.05  Room: ETH HG G 43 CANCELLED

In this talk we will investigate the question -- based on problems attributed to Erdős -- 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.