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Home » GAAHD Postdoc Seminar: Almost-Fuchsian space and entropy of minimal surfaces

Seminar

GAAHD Postdoc Seminar: Almost-Fuchsian space and entropy of minimal surfaces February 13, 2015 (11:45 AM PST - 12:30 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Andrew Sanders (University of Illinois at Chicago)
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An almost-Fuchsian manifold is a quasi-Fuchsian manifold which contains an incompressible minimal surface with principal curvatures less than one everywhere.  The topological entropy of the geodesic flow on the minimal surface defines a function on the space of almost-Fuchsian manifolds.  We will explain how this function can be used to give a metric on Fuchsian space.  Furthermore, we will also discuss the relationship between this entropy and the Hausdorff dimension of limit sets of quasi-Fuchsian groups.

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