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Chao Li, NYU, Stable minimal hypersurfaces in R^4.
November 17, 2021 | 2:00 pm - 3:00 pm EST
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.
Zoom link: contact Peter McGrath host to get the link.