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Nonlinear Analysis

Stable minimal hypersurfaces in R^4

Chao Li, Courant Institute, NYU

Location:  Zoom
Date & time: Wednesday, 24 November 2021 at 9:30AM - 10:30AM

Abstract: 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:
Meeting ID: 964 3090 5091 Passcode: 491508

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