Geometric PDE Seminar

The special Lagrangian equations define calibrated minimal Lagrangian surfaces in complex space. These fully nonlinear Hessian equations can also be written in terms of symmetric polynomials of the Hessian, giving a minimal surface interpretation to certain more recognizable Hessian equations. After introducing the topic, I will survey some recent results related to special Lagrangian equations, and give a proof of some priori Hessian estimates.