Speaker: Lihan Wang (University of Connecticut)
Title: "Gradient estimate for harmonic functions on Kaehler Manifolds"
Abstract: We will discuss our recent study of harmonic functions on non-compact complete Kaehler manifolds with Ricci curvature lower bounds. We obtain a sharp integral gradient estimate,which implies sharp upper bounds of eigenvalues and rigidity results of Kaehler structure atinfinity. The estimate is sharp means the equality holds in complex hyperbolic space. This talk is based on the joint work with Ovidiu Munteanu.