Dear all,

The next Banach spaces webinar is on Friday July 24 9AM CDT (e.g., Dallas, TX time). Please join us at

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

Speaker: Florent Baudier (Texas A&M)

Title: L_1-embeddability of lamplighter metrics

Abstract. Lamplighter groups are important and well-studied objects in (geometric) group theory as they provide examples of groups with a variety of interesting geometric/algebraic properties. The lamplighter construction can naturally be extended to apply to graphs and is instrumental in the study of random walks on graphs. However, much remains to be understood regarding the embeddability of lamplighters groups or graphs into classical Banach spaces. Inspired by works on the earthmover distance I will explain how the machinery of stochastic embeddings into tree metrics can be fruitfully applied to the study of L_1-embeddability of lamplighter metrics and how it provides general upper bounds on the L_1-distortion of finite lamplighter graphs (and groups). I will then discuss an application to the coarse embeddability of the planar lamplighter group and if time permits an application to linear embeddings of Arens-Eells spaces over finite metric spaces into finite-dimensional l_1-spaces. The talk will be targeted towards non-specialists. Based on joint works with P. Motakis (UIUC), Th. Schlumprecht (Texas A&M), and A. Zsák (Peterhouse, Cambridge)

* 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

July 31: Valentin Ferenczi (University of São Paulo)

Thank you, and best regards,

Bunyamin Sari