Ergodic Theory/Probability Seminar - Florian Richter

Florian Richter
May 10, 2018
3:00 pm - 4:00 pm
Math Tower 154

Date Range
2018-05-10 15:00:00 2018-05-10 16:00:00 Ergodic Theory/Probability Seminar - Florian Richter 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. Math Tower 154 America/New_York public

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.

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