# Colloquium Prof. Dr. Sebastian Hensel, LMU München: "The geometry of handlebody groups"

Nov 16, 2018 from 04:15 PM to 05:15 PM

LMS 4 - Raum 424 - Kleiner Hörsaal

Abstract:

The mapping class group of a manifold is by definition the group of isotopy classes of orientation preserving self-homeomorphisms. For surfaces, these groups are by now very well-understood and have numerous applications throughout geometry and topology. After an overview of such applications and some central results, we will then turn to a second group: the mapping class group of a three-dimensional handlebody. This group also has interesting topological applications, but is much less understood -- especially from a geometric standpoint. We will give a quick overview of some recent results and some open problems, in particular in comparison to the surface case.