Seminar:
Analysis
Event time:
Thursday, February 10, 2022 - 4:15pm
Speaker:
Mariusz Mirek
Speaker affiliation:
Rutgers University
Event description:
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.
This will be a survey talk.