Title：Gradient estimate for harmonic functions on Kahler manifolds.
Speaker：Wang, Lihan (王丽涵)
Affiliation：University of Connecticut
Time：14:00 - 15:00, 12/29/2019
Room：Room 1502, SEUYC
Abstract：We will discuss our recent study of harmonic functions on noncompact complete Kahler 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 at infinity. The estimate is sharp means the equality holds in complex hyperbolic space. This talk is based on the joint work with Ovidiu Munteanu.
报告人介绍：王丽涵，美国康涅狄格大学Assistant Research Professor。2013年在美国加州大学尔湾分校获得博士学位，曾任美国加州大学河滨分校访问助理教授。她在近期和Li-Sheng Tseng教授（UCI）的合作中，首创性地研究了带边辛流形上primitive cohomology的Hodge理论。