Ahlfors Bers Colloquium

May 19-22, 2005
University of Michigan
Ann Arbor, Michigan

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University of Michigan

Mathematics Department


Organizers
Dick Canary
Juha Heinonen

 

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Workshop Abstract Detail

Jeffrey Brock
Brown University

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.


Topic: Weil-Petersson Geometry of Teichmuller space


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