Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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Flexibility and degeneracy around a theorem of Thurston
We will describe some curious stability phenomena that appear when comparing lengths of curves on different hyperbolic surfaces. In particular, we will explain how to construct sums of Fuchsian representations whose limit cones are finite-sided polyhedra, how to construct “noisy” families of geodesics for Thurston’s Lipschitz metric on Teichmüller space, and the relationship of these constructions to a theorem of Thurston. We will then conclude by discussing the estimates on lengths of curves in hyperbolic surfaces that we use to prove polyhedrality of our examples of limit cones.
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