学科报告

The Hermitian-Yang-Mills equation and its applications

发布人:发布时间: 2023-05-19

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题目The Hermitian-Yang-Mills equation and its applications

报告人:张希 教授(南京理工大学)

时间:2023年5月25日 9:00-10:30

地点:戊己庚楼203-3室

摘要:In this talk, we first review the Donaldson-Uhlenbeck-Yau theorem about the solvability of the Hermitian-Yang-Mills equation. We consider mean curvature positivity of holomorphic vector bundle.  By using the perturbed Hermitian-Yang-Mills equation, we will show that that the mean curvature positivity is equivalent to the HN-positivity. As its applications, We establish the correspondence between rational connectedness in algebraic geometry and mean curvature positivity in differential geometry. This work is joint with Chao Li and  Chuanjing Zhang.

邀请人:陈学长  老师