**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:** https://osu.zoom.us/j/98033590349

**Meeting ID:** 980 3359 0349

**Password:** Mixing

**Recorded Talk:** https://osu.zoom.us/rec/play/p1z2HhHlzHdoN3vZrLwAzuIArt04Weu9AoGn2r2yEXfody54PYyIf3PGM7p97QN2AHwSEGS88bADt5oR.h6jBwlOzmAsyimmG?continueMode=true