Speaker：Yu Yuan (University of Washington)

Time：2024-7-15, 10:30

Location：Conference Room 661 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

We survey some new and old, positive and negative results on a priori estimates, regularity, rigidity, and constant rank property for special Lagrangian equations with or without certain convexity. The "gradient" graphs of solutions are minimal or maximal Lagrangian submanifolds, respectively in Euclidean or pseudo-Euclidean spaces. In the latter setting, these equations are just Monge-Ampere equations.