On power subgroups of Dehn twists in hyperelliptic mapping class groups

Date: 
2018/07/24 Tue 15:00 - 16:30
Room: 
Room 609, Building No.6
Speaker: 
Wataru Yuasa
Affiliation: 
Kyoto University
Abstract: 

In this talk, we would like to discuss indices of power subgroups in the mapping class group of a punctured sphere and in the hyperelliptic mapping class group of an oriented closed surface.
The main tool we use is a projective representation of the mapping class group obtained through the linear skein theory.
Our works are the study of the remaining case of Masbaum's work and a generalization of Stylianakis's work.