Homological stability for the ribbon Higman-Thompson groups
Moduli and Friends seminar
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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.