Seminar 02.18.21 Glasscock

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

Speaker: Daniel Glasscock – UMass Lowell

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.

Zoom link:

Meeting ID: 980 3359 0349

Password: Mixing

Recorded Talk: