Min-max theory and least area minimal hypersurfaces

Friday, February 5, 2016 -
1:50pm to 2:15pm
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.
Antoine Song
Princeton University
Event Location: 
Fine Hall Common Room