Speaker: Professor Conner Mooney (UC Irvine)

Title: Singular solutions to the special Lagrangian equation and the minimal surface system

Abstract: The special Lagrangian equation (SLE) was introduced by Harvey and Lawson in the context of calibrated geometries. We will talk about the construction of singular viscosity solutions to SLE that are Lipschitz but not C^1, and have non-minimal gradient graphs. The singularities are related to certain degenerate Bellman equations and the free boundary problems associated with them. We will also discuss a similar construction in the context of the minimal surface system. This is joint work with O. Savin.