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Geometry-Topology Seminar

Thursday, September 19, 2019 - 4:30pm

Dan Lee



University of Pennsylvania


Jauregui proved that the ADM mass of asymptotically flat manifolds with nonnegative scalar curvature is lower semicontinuous under pointed C^2 convergence. I will discuss joint work with Jauregui that weakens the hypothesis to pointed C^0 convergence. The proof uses Huisken’s isoperimetric mass concept and mean curvature flow. The proof is robust enough that we were recently able to improve the result further to handle an even weaker form of convergence called volume intrinsic flat convergence.