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DTSTART:20210915T210000Z
DTEND:20210915T220000Z
SUMMARY:Promotion Talk by Florent Baudier
DESCRIPTION:**Rigidity\, Metric Invariants\, and Geometry of Graphs**

*Abstract:* Rigidity in the geometric context will be the guiding theme
of this presentation. A rigidity result aims at recovering the
characteristics of an object based on partial information only. Very
often rigidity results go hand in hand with the discovery of metric
invariants which are tightly connected with the geometry of graphs.
After a brief discussion on nonlinear rigidity of Banach spaces we
will focus on two recent works.

The first one\, in collaboration with C. Gartland\, deals with the
geometry of countably branching trees and a new bi-Lipschitz invariant
that we introduced: umbel convexity.

In the second work (collaboration with B. Braga\, I. Farah\, A. Khukhro\, A. Vignati\, R. Willett) we provide a
solution to the longstanding open problem of the coarse rigidity of
uniform Roe algebras. Motivations to study these problems will be
interspersed throughout the talk.
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