Date: Monday, March 19, 2018
Location: 3096 East Hall (4:00 PM to 5:00 PM)
Title: The Manhattan Curve for Hyperbolic Surfaces with Cusps
Abstract: In this talk, we will discuss an interesting curve, socalled the Manhattan curve, associated with a pair of boundarypreserving Fuchsian representations of a (noncompact) surface, especially representations corresponding to Riemann surfaces with cusps. Marc Burger and Richard Sharp showed that, for convexcocompact Fuchsian representations, one can use the shape of the Manhattan curve to derive dynamical and geometric rigidity results. We will discuss how the Thermodynamic Formalism (for countable Markov shifts) helps us to generalize these rigidity results to nonconvexcocompact Fuchsian representations.
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Speaker: Nyima Kao
Institution: UChicago
Event Organizer:
