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.
Donnerstag, den 17. Mai 2018 um 17.15 Uhr, in Mathematikon, INF205, HS Mathematikon Donnerstag, den 17. Mai 2018 at 17.15, in Mathematikon, INF205, HS Mathematikon
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Frau Dr. F. Fanoni