Séance du séminaire Groupes et Actions (anciennement GAO). 

Résumé : 

The fine curve graph is a hyperbolic graph on which the homeomorphism group of a surface acts (in an interesting way) and it allows to try and approach homeomorphism groups of surfaces with tools from geometric group theory. It is motivated by, and shares many properties with, the wildly successful curve graph machinery for mapping class groups – but it also shows new behaviour not encountered in the classical setting. 

In this talk, we will describe first results on the structure at infinity of the fine curve graph, and present some applications to homeomorphism groups. (No prior knowledge on curve graphs will be assumed!)

This is joint work with Jonathan Bowden and Richard Webb.