Geometry, Topology and Dynamics Seminar
Scott Kaschner
Indiana-Purdue Indianapolis
Regularity of superstable manifolds
Abstract: In this talk, I will discuss the dynamics of dominant, meromorphic self-maps of complex manifolds of dimension n>1. Specifically, I will focus on the situation in which there is an invariant embedded copy of P^1 that also contains an invariant real circle. I will describe the regularity the of superstable manifolds of this circle and how they relate to global properties of the embedded P^1. Also, there is a physical interpretation to one of the maps described; I will explain how this is related and how it motivated this work.
Monday April 1, 2013 at 3:00 PM in SEO 636