Thursday February 20th, 2025 | |
| Time: | 2:15 PM - 3:15 PM |
| Title: | The stable Bernstein theorem for minimal hypersurfaces |
| Speaker: | Chao Li, New York University |
| Abstract: | |
| Abstract: The classical Bernstein problem, resolved in the 1960s, states that the only entire solution in R^n to the minimal surface equation is affine whenever n is at most 7. A natural extension of the problem - the stable Bernstein problem for minimal hypersurfaces- has been extensively studied since 1980s. I will discuss recent progress on this problem: a complete, two-sided, codimension one stable minimal immersion in R^n, 4 \le n \le 6, is flat. The solution relies on an improved understanding between curvature conditions and the macroscopic geometry of Riemannian manifolds. | |