## Department Colloquium

### Friday, February 26th, 2021

**Time:** 2:30 p.m. **Place:** Online (via Zoom)

**Speaker:** Idris Assani (University of North Carolina)

**Title:** Recurrence and Return Times

**Abstract: ** We present some pointwise results on the topic of the pointwise convergence of multiple ergodic averages. These include our work on the averages along the cubes, on the Furstenberg averages and on the return times. We also raise some open questions.

**Idris Assani** is a Professor in the Department of Mathematics of at the University of North Carolina at Chapel Hill. His research area is in ergodic theory. He is the author of the research monograph Wiener Wintner Ergodic Theorems about mathematics related to the Wiener–Wintner theorem, and is also the editor of many volumes of collected papers in ergodic theory. Prof. Assani was named as one of the inaugural fellows of the American Mathematical Society in 2012 and one of the 66 most influential mathematicians throughout its history by The Royal Society on World Maths Day in 2017.