Oliver Club

Mariusz Mirek Rutgers University
When Additive Combinatorics meets Ergodic Theory and Fourier Analysis

Tuesday, November 9, 2021 - 4:00pm
Malott 532 (Lounge)

A celebrated theorem of Szemeredi asserts that every subset of integers with nonvanishing upper Banach density contains arbitrarily long arithmetic progressions. I will discuss the role of ergodic theory an Fourier analysis in this problem. I will also explain how this problem led to the conjecture of Furstenberg-Bergelson-Leibman, which is a major open problem in pointwise ergodic theory.

Refreshments will be served at 3:30 PM.