Dynamical Mapping Classes

Geometry Topology Seminar
Monday, August 26, 2019 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
University of Michigan

In complex dynamics, the main objects of study are rational maps on the Riemann sphere. For some large subset of such maps, there is a way to associate to each map a marked torus. Moving around in the space of these maps, we can then track the associated tori and get induced mapping classes. In this talk, we will explore what sorts of mapping classes arise in this way and use this to say something about the topology of the original space of maps.