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Texas A&M University

Promotion Talk by Florent Baudier

Date: September 15, 2021

Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Florent Baudier, Texas A&M University


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.