Homological stability for the ribbon Higman-Thompson groups
Moduli and Friends seminar
Tuesday 7 December 2021
Xiaolei Wu (Fudan University, Shanghai) — Homological stability for the ribbon Higman-Thompson groups
I will start the talk with basics about Higman-Thompson groups and then introduce their 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.
* Eastern European Time, i.e. UTC+2 in winter and UTC+3 in summer.