Romain Tessera
(Institut de Mathématiques de Jussieu – Paris Rive Gauche)
May 31, 2021
Organized by Asia-Pacific GNCG Seminar.

Geometry of lamplighters groups

In a joint work with Anthony Genevois, we classify up to quasi-isometry the class of lamplighter groups over one-ended finitely presented groups. This is a far reaching extension of the case where the base group is Z (hence two-ended), which was treated in a famous work of Eskin-Fisher-Whyte. The proof uses a completely different approach and is based on the construction of a median space.

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