|Date: Monday, February 19, 2018
Location: 3096 East Hall (4:00 PM to 5:00 PM)
Title: The Teichmueller space of conformal pentagons
Abstract: 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: Maxime Fortier Bourque
Institution: University of Toronto