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Workshop
Abstract Detail
Jeffrey Brock
Brown University
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Chains of flats, minimal irrational laminations, and divergent geodesics in the Weil-Petersson metric
A Weil-Petersson ray in Teichmueller space has a well defined 'ray-invariant', akin to the ending lamination for a hyperbolic 3-manifold, arising as a limit of simple closed curves on S whose length functions have infimum less than some K along the ray. In this talk I will describe how geodesics with the same minimal irrational invariant can nevertheless diverge, and explain how this is not at odds with various hopeful analogies between hyperbolic 3-manifolds and Weil-Petersson geodesics.
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| Topic: |
Weil-Petersson Geometry of Teichmuller space
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