Bernstein's problem for minimal surfaces, revisited

Bernstein's problem for minimal surfaces, revisited

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Zhihan Wang, Princeton University

The classical Bernstein's theorem says that the entire minimal graphs on R^n are linear when n\leq 7 and may be nonlinear when n\geq 8. In this talk we give a brief introduction of how geometric measure theory is used to prove this theorem in lower dimensions, as well as to understand further structures of nonlinear minimal graphs in higher dimensions.