Min-max theory for constant mean curvature hypersurfaces

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Speaker: 
Jonathan Zhu
Institution: 
Harvard University
Time: 
Tue, 01/16/2018 - 4:00pm - 5:00pm
Host: 
Richard Schoen
Location: 
RH 306

We describe the construction of closed constant mean curvature (CMC) hypersurfaces using min-max methods. In particular, our theory allows us to show the existence of closed CMC hypersurfaces of any prescribed mean curvature in any closed Riemannian manifold. This work is joint with Xin Zhou.