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Coarse separation in geometric group theory

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Speaker: 
Oussama Bensaid
Zugehörigkeit: 
MPIM
Datum: 
Don, 28/03/2024 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

A subset S of a metric space X is said to be coarsely separating if there exists some constant D such that for any R there exist two balls of radius R entirely contained in two different connected components of the complement of the D neighborhood of S. This notion has been introduced in the 90's and used to prove some quasi-isometric rigidity results of finitely generated groups, such as lattices in Lie groups. After giving a brief overview of these applications, I will show how it can also be used to prove the quasi-isometric rigidity of some amalgamated free products and wreath products. Joint work with Anthony Genevois and Romain Tessera.

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