# Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory

## Infinite Sumsets in Sets with Positive Density

ABSTRACT: In the 1970’s Erdos asked several questions about what kind of infinite structures can be found in every set of natural numbers with positive density. In recent joint work with Kra, Richter and Robertson we proved that every such set A can be shifted to contain a (restricted) sumset B+B for some infinite subset B of A. The proof involves a modification of the "correspondence principle" of Furstenberg to transfer the problem into a dynamical statement, followed by an analysis of the ergodic decomposition of self-products.

### Date & Time

March 02, 2023 | 10:00am – 11:00am

### Location

Simonyi Hall 101 and Remote Access### Speakers

### Affiliation

Member, School of Mathematics