Ahlfors Bers Colloquium
May
19-22, 2005
University of
Michigan
Ann Arbor, Michigan
Registration
Organizers
Dick
Canary
Juha
Heinonen
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Workshop
Abstract Detail
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Moon Duchin University of Chicago
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Variation of Teichmuller geodesics
The Teichmuller metric has several properties associated with nonpositively curved spaces, but it is neither CAT(0) nor Gromov hyperbolic. I will define a triangle condition which can be interpreted as describing the variation of geodesics, prove it for Teichmuller space, and explain some geometric consequences. One main application is a multiplicative ergodic theorem for random walks by mapping classes. | ||
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