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4:00 pm Monday, February 6, 2012 Topology Seminar: Asymptotic Geometry of Teichmuller Space and Divergenceby Harold Sultan (Columbia University) in HB 447- Using the combinatorial model of the pants complex I will talk about the asymptotic geometry of Teichmuller space equipped with the Weil-Petersson metric. In particular, I will give a criterion for determining when two points in the asymptotic cone of Teichmuller space can be separated by a point; motivated by a similar characterization in mapping class groups by Behrstock-Kleiner-Minsky-Mosher and in right angled Artin groups by Behrstock-Charney. As a corollary, I will explain a new way to uniquely characterize the Teichmuller space of the genus two once punctured surface amongst all Teichmuller space in that it has a divergence function which is superquadratic yet subexponential.
Submitted by shelly@rice.edu |