Back to Departmental Colloquium: Spring 2001
Departmental Colloquium
Date: Tuesday, Feb 13, 2001
Time: 4:15PM
Location: JWB 335
Ken Bromberg
University of Michigan
Title |
Self-bumping of deformation spaces of hyperbolic 3-manifolds |
Abstract |
In the Sullivan dictionary between Kleinian groups and rational maps, the space of complete hyperbolic structures on a 3-manifold is the analogue of the Mandelbrot set. We will describe some similarities between the two spaces, but will also see that the space of hyperbolic structures exhibits behavior not found in the Mandelbrot set. In particular, a component of the interior of the space of hyperbolic structures can ``self-bump’’. This is joint work with John Holt. |
Topology