Ahlfors Bers Colloquium
May
19-22, 2005
University of
Michigan
Ann Arbor, Michigan
Registration
Organizers
Dick
Canary
Juha
Heinonen
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Plenary
Talks
Abstract Detail
| Ends, Laminations and Families of Surfaces
In the solution of Thurston's Ending Lamination Conjecture (joint with Brock and Canary) a major role is played by the connection between families of pleated surfaces within an end of a hyperbolic 3-manifold, their induced metrics as points in a Teichmuller space, and combinatorial families of pants decompositions on a surface. Analogous structure has been observed, at least in special cases, in the long-term behavior of Weil-Petersson geodesics in Teichmuller space. I will survey the ideas of the proof of the Ending Lamination Conjecture, and attempt to discuss some new work (joint with Brock and Masur) applying these to the study of Weil-Petersson geometry. | ||
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