Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics

Dynamics, Geometry, & Groups Seminar


Thursday, November 12th, 2020

Time: 2:00 p.m Place:

Speaker: Lei Chen (California Institute of Technology)

Title: Nielsen realization problem for the mapping class group.

Abstract: Nielsen realization problem for the mapping class group Mod(Sg) asks whether the natural projection pg:Homeo+(Sg)→Mod(Sg) has a section. Moreover, we also care about the realization of subgroups of Mod(S_g). In this talk, I will explain some ideas towards this problem. It will use some rotation number results and fixed points theory.