Min-max theory and least area minimal hypersurfaces

Min-max theory and least area minimal hypersurfaces

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Antoine Song, Princeton University
Fine Hall Common Room

This is a joint Geometry/Topology day.    Min-max theory is a powerful way for constructing minimal hypersurfaces and has numerous geometric applications. In this talk, I will present one of them due to Calabi and Cao: on a convex sphere, any closed geodesic of least length is simple. I will explain how to extend this result to higher dimensions.