Dear all,

The next Banach spaces webinar is on Friday June 19 9AM CDT (e.g., Dallas, TX time). Please join us at

https://unt.zoom.us/j/512907580

Speaker: Christian Rosendal (University of Illinois and NSF)

Title: Two applications of Arens-Eells spaces to geometric group theory and abstract harmonic analysis

Abstract. Arens-Eells spaces (aka Lipschitz free spaces or transportation cost spaces) give rise to interesting examples of Banach spaces and provide analytic techniques within Banach space geometry, but are also of importance as a tool for analysing objects outside Banach space theory using functional analytical techniques. I will present two such uses. The first is to abstract harmonic analysis where Arens-Eells spaces can be used to provide a very simple conceptual proof of a recent characterisation of amenability of topological groups due to F. M. Schneider and A. Thom. The second application is to the geometric study of topological groups, namely, to establish the Gromov correspondence between coarse equivalence and topological couplings in the widest possible setting. Time permitting, we also discuss some application of the harmonic analytical tools to the non-linear geometry of Banach spaces.

* For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach

Upcoming schedule

June 26: Bruno Braga (University of Virginia)

Thank you, and best regards,

Bunyamin Sari