# Finite subgroups of mapping class groups

## Location

Zoom

Friday, January 28, 2022 4:00 PM

Qianhe Qin

In this talk, we will investigate torsions of the mapping class group Mod(S_g) of a surface S_g with genus g>1. We will show that finite subgroups of Mod(S_g) have order at most 84(g-1) and Mod(S_g) have no torsion element with order larger than 4g+2. At the end, we will prove that Mod(S_g) is generated by finitely many elements of order 2.