Appears in collection : 2022 - T2 - WS1 - Mapping class groups and Out(Fn)

During this talk we will focus on a family of asymptotically rigid mapping class groups which includes a braided version of Ptolemy-Thompson groups. We will build a contractible cube complex on which these groups act and we will see which kind of properties can be deduced from this action. This work is joint with Anthony Genevois and Christian Urech.