Chris Leininger : Atoroidal Surface bundles

Posted by Osama Khalil , part of the Departmental Colloquium.

At

Jan. 24, 2025, 3 p.m.

In

636 SEO

Abstract

I will discuss joint work with Autumn Kent in which we establish the existence of purely pseudo-Anosov surface subgroups of mapping class groups. We do this by constructing a type-preserving representation of the figure eight knot group into the mapping class group of the thrice-punctured sphere. As a corollary we obtain the first examples of closed atoroidal surface bundles over surfaces.