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Topology of Closed Hypersurfaces of Small Entropy

Connections for Women: Differential Geometry January 14, 2016 - January 15, 2016

January 14, 2016 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Lu Wang (Yale University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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We use a weak mean curvature flow together with a surgery procedure to show that all closed hypersurfaces in Euclidean four space with entropy less than or equal to that of the round cylinder, are diffeomorphic to the three-sphere. This is joint work with Jacob Bernstein

25476?type=thumb Wang_Notes 160 KB application/pdf Download