Geometry, Topology and Dynamics Seminar
Autumn Kent
University of Wisconsin
On word hyperbolic surface bundles
Abstract: There is a characterization of hyperbolicity of the
fundamental group of a surface bundle due to Farb-Mosher-Hamenstaedt,
namely that the bundle has hyperbolic fundamental group if and only if the fundamental group of the base is ``convex cocompact,'' a notion analogous to
the synonymous notion in Kleinian groups. I will discuss joint work
with Bestvina, Bromberg, and Leininger that gives a new
characterization of convex cocompactness, namely that the group is
purely pseudo-Anosov and undistorted in the mapping class group.
Monday April 24, 2017 at 3:00 PM in SEO 636