Seminar Event Detail

Complex Analysis, Dynamics and Geometry

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

Event Organizer:     


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