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Geometry and Topology Seminar

Friday, November 11, 2016
3:00pm to 4:00pm
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The geometry of maximal representations in SO(2,3)
Jeremy Toulisse, Department of Mathematics, University of Southern California,

Given a closed oriented surface S of genus at least 2, the notion of maximal representations in SO(2,3) naturally generalizes the Teichmueller space of S. In this talk, I will explain how to construct a unique maximal surface into the pseudo-hyperbolic space H^{2,2} which is preserved by the action of a maximal representation. It generalizes in particular a recent result of Labourie. If time permits, I will explain how to extend the construction for maximal representations in SO(2,n). This is a joint work with Brian Collier and Nicolas Tholozan.

For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].