Speaker: Julius Ross

Title: Complex PDEs and Planar Flows

Abstract: I will discuss a duality between the Homogeneous Monge-Ampere equation and a flow in the plane coming from fluid mechanics called the Hele-Shaw flow. Using this we can give various applications both in complex geometry and in the theory of planar flows. I will present this in a way that makes it clear that this phenomena is a special case of a much more general duality between complex PDEs and planar flows.