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Hyperbolic properties of the Teichmüller space

Geometry/Topology

Speaker: Kasra Rafi, University of Oklahoma
Location: 2112 MSB
Start time: Mon, Mar 14 2011, 4:10PM

We develop a theory of applying combinatorial tools, like the curve complex, to the study of the geometric properties of Teichmüller space. We then use this theory to examine in what way Teichmüller space equipped with the Teichmüller metric resembles or differs from a Gromov hyperbolic space.