Lectures by Prof.Xi Zhang of University of Science and Technology of China
 time： 2022-01-26
 Title：Special Hermitian metrics on holomorphic vector bundles over non-K\ahler manifoldsSpeaker：Prof.Xi Zhang(University of Science and Technology of China)Time:Monday ,October 4 , 2021,PM:7:00-9:00Tencent Conference: 176 120 230Inviter:Assistant Prof.Rirong Yuan                                                     Abstract：In this talk, we introduce our recent work on special Hermitian metrics on holomorphic vector bundles over non-K\ahler manifolds. We will show that a holomorphic vector bundle admits a Hermitian metric with negative mean curvature if and only if the maximum number of slops of all of its subsheaves is negative. Furthermore, we also talk about the limiting behavior of the Hermitian-Yang-Mills flow. We show that the minimum of the smallest eigenvalue of the mean curvature is increasing along the Hermitian-Yang-Mills flow, while the maximum of the biggest eigenvalue is decreasing; and they converge to certain geometric invariants. These works are joint with Chao Li and Chuanjing Zhang.