Geometry and Topology Seminar 2010

Geometry and Topology Seminar

Date: 1/26/09

Speaker: Kyounghee Kim

Title: Linearization and Globalization

Abstract: We will discuss a discrete family of automorphisms. These maps have a curve of fixed points. There are two cases. In the first case, the curve is attracting/repelling, and its basin has full volume. In the other case, the curve is the "center" of a rotation domain, which is "large" because it contains both a curve of fixed points, as well as isolated fixed points. We will discuss how to linearize these mappings globally.