Topology Seminar (Introductory Talk): Dunfield and Thurston’s stable description of certain finite $\text{Mod}(\Sigma_g)$ actions

Seminar | January 25 | 2:10-3 p.m. | 736 Evans Hall

 Eric Samperton, UC Davis

 Department of Mathematics

Let $X_g : = \{ \pi _1(\Sigma _g) \to G\}$. The mapping class group $\text {Mod}(\Sigma _g)$ acts on $X_g/Aut(G)$. Using the classification of finite simple groups, Dunfield and Thurston gave a complete description of this action when $G$ is nonabelian simple, and $g$ is large enough. I will review their theorem.