4-11【张世宇】Compact Kaehler manifolds with quasi-positive holomorphic sectional curvature

发布时间:2024-03-18来源:几何与物理研究中心中文网页浏览次数:10

报告人:张世宇(中国科学技术大学)

时间:2024年4月11日 16:00-18:00

地点:五教5504


    

We show that a compact Kaehler manifold with quasi-positive holomorphic sectional curvature is projetive and rationally connected. This result extends Yau's conjecture on positive holomorphic sectional curvature and answers a problem raised by Yang and Matsumura.  Firstly, I will recap past progress in understanding the structure of compact Kaehler manifold with nonnegative holomorphic sectional curvature. Subsequently, I will briefly explain our method. This is a joint work with Xi Zhang.