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比利时vs摩洛哥足彩 ,
university of california san diego

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math 258 - differential geometry seminar

yangyang li

princeton university

generic regularity of minimal hypersurfaces in dimension 8

abstract:

the well-known simons's cone suggests that minimal hypersurfaces could be possibly singular in a riemannian manifold with dimension greater than 7, unlike the lower dimensional case. nevertheless, it was conjectured that one could perturb away these singularities generically. in this talk, i will discuss how to perturb them away to obtain a smooth minimal hypersurface in an 8-dimension closed manifold, by induction on the ``capacity" of singular sets. this result generalizes the previous works by n. smale and by chodosh-liokumovich-spolaor to any 8-dimensional closed manifold. \\ \\ this talk is based on joint work with zhihan wang.

hosts: lei ni and luca spolaor

april 21, 2021

11:00 am

zoom id 917 6172 6136

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