Complex Analysis, Dynamics and Geometry Seminar

A conformal pentagon is a Jordan domain together with 5 labelled marked points along its boundary, up to conformal homeomorphisms. The space of conformal pentagons is 2-dimensional and we are interested in the geometry of the Teichmueller metric on it. This metric is uniquely geodesic and its geodesics can be described explicitly. I will explain the striking similarities between this space and the Hilbert metric on the interior of a regular Euclidean pentagon. This is joint work with Y. Chen, R. Chernov, S. Lee, M. Flores and B. Yang. Speaker(s): Maxime Fortier Bourque (University of Toronto)