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Existence of infinitely many minimal hypersurfaces in closed manifolds

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Antoine Song
Princeton University
Tue, 2019-07-09 11:00 - 12:00
MPIM Lecture Hall

In the early 80's, Yau conjectured that in any closed $3$-manifold there should be infinitely many closed minimal surfaces. I will survey previous results related to the question and present a proof of the conjecture. It builds on the min-max theory of F. Almgren and J. Pitts, which has recently been further developed by F. C. Marques and A. Neves.


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