**Title**: The Erdos sumset conjecture

**Speaker**: Florian Richter (Ohio State University)

**Abstract**: A longstanding open conjecture of Erdos states that every subset of the integers with positive density contains a sum B+C of two infinite sets B and C. I will talk about recent joint work with Joel Moreira and Donald Robertson in which we resolve this conjecture. Our poof utilizes ideas and methods coming from Ergodic Theory, including Bergelson’s intersectivity lemma, various decomposition theorems of arithmetic functions into structured and pseudo-random components, and some borrowed techniques from Beiglboeck’s proof of Jin’s theorem.