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David Cruz-Uribe

2053485074|

February 2019

Research Talk – Xin Zhou, University of California, Santa Barbara

February 19 @ 11:00 am - 12:00 pm

Title:¬†Multiplicity One Conjecture in Min-max theory Abstract:¬†I will present a recent proof of the Multiplicity One Conjecture in Min-max theory. This conjecture was raised by Marques and Neves as the key step to establish a Morse theory for the area functional. It says that in a closed manifold of dimension between 3 and 7 with a bumpy metric, the min-max minimal hypersurfaces associated with the volume spectrum introduced by Gromov, Guth, Marques-Neves are all two-sided and have multiplicity one. As…

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