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Seminar
FIELD Math:Geometry
DATE December 05 (Sat), 2020
TIME 08:00-09:00
PLACE Online
SPEAKER Chodosh, Otis
HOST Choi, Kyeongsu
INSTITUTE Stanford University
TITLE Soap bubbles and topological obstructions to positive scalar curvature
ABSTRACT The Geroch conjecture (proven by Schoen?Yau and Gromov?Lawson) says that there does not exist a metric of positive scalar curvature (PSC) on the 3-torus. I will explain how to generalize this in certain directions using soap bubbles (minimizers of a prescribed mean curvature functional). In particular I will explain why a closed 5-dimensional aspherical manifold does not admit a PSC metric. This is joint work with Chao Li.
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