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Fill-ins, extensions, scalar curvature, and quasi-local mass

QMAP Seminar

Speaker: Christos Mantoulidis, Stanford
Location: 2112 MSB
Start time: Fri, May 26 2017, 1:15PM

In this talk we will explain the relationship with the study of Riemannian 3-manifolds of nonnegative scalar curvature, and minimal submanifolds. Then, we will discuss an interesting space of Riemannian 2-spheres that facilitates---within the class of 3-manifolds with positive scalar curvature---extremal bending techniques, and cut-and-fill operations. We'll tie this all back to notions of global and quasi-local energy in general relativity.



Coffee and pastries served at 1:00pm. Joint with PDE and applied seminar.