Geometry, Topology and Dynamics Seminar
Kevin Pilgrim
Indiana University
The conformal elevator
Abstract: A general principle known as the "conformal elevator" asserts the
following. Given a conformal dynamical system with suitable
expanding properties, balls at arbitrarily small scales can be blown
up via the dynamics to sets of definite size with controlled
distortion. I'll illustrate this principle in the setting of
hyperbolic rational maps, and will discuss its many dynamical and
geometric consequences. I'll conclude with a number of open problems.
This talk will be self-contained and accessible to beginning graduate students.
Wednesday October 10, 2007 at 3:00 PM in SEO 512