Published on *Max-Planck-Institut für Mathematik* (http://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

Chao Li
Zugehörigkeit:

NYU
Datum:

Don, 16/12/2021 - 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/de/node/3050