Atoroidal surface bundles

Seminar: 
Geometry & Topology
Event time: 
Tuesday, October 22, 2024 - 4:00pm
Location: 
KT 207
Speaker: 
Autumn Kent
Speaker affiliation: 
University of Wisconsin-Madison
Event description: 

I will discuss recent work with C. Leininger in which we produce purely pseudo-Anosov surface subgroups of mapping class groups, obtaining the first compact atoroidal surface bundles over surfaces. We do this by constructing a type-preserving representation of the figure eight knot group into the mapping class group of the thrice-punctured torus.