H. Blaine Lawson, Jr., SUNY Stony Brook

Plurisubharmonicity and convexity in calibrated geometry

The concept of a plurisubharmonic function in complex geometry has an analogue on any calibrated manifold. Many results concerning plurisubharmonicity and pseudoconvexity in classical analysis can be established in this general setting. I will discuss some of these. This is joint work with Reese Harvey.