Ergodic Ramsey Theory: Or, A New New Newtonian Dynamics

Speaker: Andrew Best (BIMSA)

Time: 12:45-13:25, Mar. 31, 2025

Venue: A6-1

Zoom: 388 528 9728

Password: BIMSA

Abstract

Two major intellectual developments, separated by almost a century, led eventually to the development of ergodic Ramsey theory from Newtonian dynamics. In this talk, we briefly explain these developments, spearheaded first by Poincar and Birkhoff and later by Furstenberg. We also mention recent trends in ergodic Ramsey theory and related results of the speaker.

Speaker

Andrew Best attained his PhD in 2021 from the Ohio State University under the supervision of Vitaly Bergelson, was a postdoc at BIMSA starting from 2021, and became an assistant professor at BIMSA in 2024. He works on ergodic theory and its interactions with number theory and additive combinatorics.

Member Seminar Intro

The BIMSA member seminar is a weekly event during which researchers engage in discussions about their extensive research interests, addressing a diverse audience that includes fellow researchers and all postdoctoral scholars within the institute. This forum provides a unique privilege and an invaluable opportunity for each research faculty member, serving as a speaker, to introduce their research field, promote the subject within the institute, and ignite the potential for future collaborations with other research groups within the institute.

The lecture format consists of a 30-minute colloquium-style presentation, thoughtfully tailored to be accessible to postdoctoral scholars and researchers from diverse disciplines within the institute. Following the presentation, a 15-minute discussion session is anticipated, involving active participation from postdocs representing various fields.

It is mandatory for all postdocs at the institute to actively participate in this event. The enthusiastic involvement of faculty members is greatly valued and will prove mutually beneficial for both the speaker and the junior audience.