Classification of regular spaces of hyperbolic quadratic polynomials
Speaker:
Carlos Cabrera, Institute of Mathematics, UNAM.
Date and Time:
Wednesday, April 19, 2006 - 1:30pm to 2:30pm
Location:
Fields Institute, Room 230
Abstract:
Regular spaces were introduced by Lyubich and Minsky in 1996, these are laminated spaces associated to rational functions. When $f$ is hyperbolic, the regular space of $f$ is a two dimensional lamination.
We prove that the topology of the regular space of a hyperbolic quadratic polynomial determines its combinatorial type.
