报告题目：Compact Kaehler manifolds with quasi-positive holomorphic sectional curvature

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.

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