
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