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The convexity of length functions on Fenchel-Nielsen coordinates for Teichmuller space

Geometry/Topology

Speaker: Ken Bromberg, University of Utah
Location: 2112 MSB
Start time: Wed, May 28 2008, 4:10PM

We show that the length of a closed geodesic is a convex function in Fenchel-Nielsen coordinates for Teichmuller space. This gives a new proof of the Nielsen realization conjecture. This is joint work with Bestvina, Fujiwara and Souto.