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Recent progress on a question of Katznelson concerning topological recurrence

Daniel Glasscock
February 18, 2021
3:00 pm - 4:00 pm
Online: Zoom info below

Title: Recent progress on a question of Katznelson concerning topological recurrence

Speaker: Daniel Glasscock (UMass Lowell)

Speaker's URL: https://www.uml.edu/Sciences/mathematics/faculty/Glasscock-Daniel.aspx

Abstract: Katznelson’s question is a longstanding open question at the intersection of topological dynamics, combinatorial number theory, and harmonic analysis: Is every set of Bohr recurrence a set of topological recurrence? Equivalently, does the set of differences A-A of a set of integers A with bounded gaps contain the iterated difference set (B-B)-(B-B) of a set B of positive upper density? In this talk, I will survey what little is known about Katznelson’s question and explain some recent progress achieved in joint work with Andreas Koutsogiannis and Florian Richter.

URL associated with Seminar
https://u.osu.edu/ergodictheory/

Additional Dates &/or Times
Zoom link: https://osu.zoom.us/j/98033590349

Meeting ID: 980 3359 0349

Password: Mixing

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