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Riemannian Geometry: Scalar curvature and area-minimizing surfaces April 26, 2016 (11:00 AM PDT - 12:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Otis Chodosh (Center for Mathematical Sciences)
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I will discuss two rigidity results for unbounded area-minimizing surfaces in manifolds of non-negative scalar curvature. First, I will explain the proof (with M. Eichmair) that an asymptotically flat three manifold with non-negative scalar curvature that contains an unbounded area-minimizing surface is must be flat. Then I will mention related work (with M. Eichmair and V. Moraru) concerning a splitting theorem for area-minimizing cylinders in three manifolds with non-negative scalar curvature. 

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