Arthur Bartels: The Farrell Jones conjecture for mapping class groups (part 1)

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "The Farrell-Jones conjecture"

The main step in the proof of the Farrell-Jones conjecture for mapping class groups is the verification of a regularity condition, related to amenability, for the action of the mapping class group on the space of projective measured foliations. I will discuss axioms that allow the verification of this property. These axioms are on one hand concerned with Teichmüller flow and on the other hand concerned with subsurface projections.I will also discuss why these axioms are satisfied in the case of the mapping class group. This is joint work with Mladen Bestvina.