学术报告（伍晓磊 5.27）

I will start the talk with basics about Higman--Thompson groups and then introduce its braided version and ribbon version. I will build a geometric model for the ribbon Higman--Thompson groups, namely as a nice subgroup for the mapping class group of a disk minus a Cantor set. We use this model to prove that the ribbon Higman--Thompson groups satisfy homological stability. This can be treated as an extension of Szymik--Wahl's work on homological stability for the Higman--Thompson groups to the surface setting. This is a joint work with Rachel Skipper.