Geometric Analysis and Topology Seminar

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The Renormalized Volume of Asymptotically Hyperbolic Metrics

Speaker: Otis Chodosh, Stanford

Location: Warren Weaver Hall 517

Date: Friday, October 25, 2013, 11 a.m.

Synopsis:

We'll discuss asymptotically hyperbolic metrics and how they differ from asymptotically flat manifolds, including a notion of renormalized volume and a corresponding scalar curvature volume comparison result (this is joint work with S. Brendle). This has interesting consequences for large isoperimetric regions in such manifolds, which we will indicate.