Working group "Geometric group theory and its coarse neighbourhood"
Co-organized with Vincent Dumoncel.
Goal: Get a better understanding on topics interacting with geometric group theory (dynamics, large-scale geometry, representations, operator algebras, logic, among others).
Format: "Mini-courses" intended to be elementary and accessible to a wide audience. They should last between one and two hours.
Room [to be announced] of bâtiment Sophie Germain, Monday or Tuesday (around 4pm).
Online : BBB.
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- Monday 27-01-2025 (4.30pm) in Room 1016:
"Quasi-isometries of finitely generated groups: invariants and rigidity" (2/3) by Vincent Dumoncel
ABSTRACT: A finitely generated group is naturally a metric space, that can be studied from a large-scale point of view. Quasi-isometries are the maps preserving this structure, and a natural problem is then to determine whether two finitely generated groups are quasi-isometric. We introduce two invariants that provide answers in some cases: the volume growth and the number of ends. The second part will be devoted to the quasi-isometric rigidity of ℤ. - 03-02-2025 or 04-02-2025:
"Quasi-isometries of finitely generated groups: invariants and rigidity" (3/3) by Vincent Dumoncel