Dynamical Mapping Classes

Geometry Topology Seminar
Monday, August 26, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Jasmine Powell – University of Michigan – jtpowell@umich.eduhttps://sites.google.com/a/umich.edu/jasmine-powell/home
Justin Lanier

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.