Lei Ni, UC San Diego

Title: Complex Monge-Ampere equation, Grauert tube and applications.

Abstract: Grauert tube arises in the study of complexification of a Riemannian manifold. It also arises in the study of the complex Monge-Ampere equation. Here I explain an application of the results/theory of Lempert and Szöke and their relevance to Riemannian curvature and volume element estimates.