中科院数学与系统科学研究院
数学研究所
动力系统研究中心
学术报告会
报告人： 刘刚 教授（Department of Mathematics, UC Berkeley）
题 目：Three circle theorem on Kahler manifolds and applications
时 间：06.30（星期二）, 14:30--16:30
地 点：数学院南楼N902室
摘 要：We introduce the three circle theorem on complete Kahler manifolds.
There are several applications.
The direct ones include sharp dimension estimates of polynomial growth holomorphic functions on Kahler manifolds with nonnegative holomorphic sectional curvature. We also use this as one of the tools to solve
1. Yau's conjecture on finite generation of polynomial growth holomorphic functions on complete Kahler manifolds with nonnegative bisectional curvature.
2. Ni Lei's conjecture on the existence of polynomial growth holomorphic functions on complete Kahler manfolds with nonnegative bisectional curvature.
