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Stable minimal hypersurfaces in R^4

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Speaker: 
Chao Li
Affiliation: 
NYU
Date: 
Thu, 2021-12-16 16:30 - 17:30

Meeting-ID: 973 8400 7043
For password please contact Stephan Stadler (stadler@mpim-bonn.mpg.de).

In this talk, I will discuss the Bernstein problem for minimal surfaces, and the recent solution to the stable Bernstein problem for minimal hypersurfaces in R^4. Precisely, we show that a complete, two-sided, stable minimal hypersurface in R^4 is flat. Corollaries include curvature estimates for stable minimal hypersurfaces in 4-dimensional Riemannian manifolds, and a structural theorem for minimal hypersurfaces with bounded Morse index in R^4. This is based on joint work with Otis Chodosh.

 

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