Speaker: 张希教授，南京理工大学数学与统计学院

Title: Canonical metrics on Higgs bundles

Language: Chinese

Time & Venue: 2025.01.15 14:00-15:00 腾讯会议：772-985-000

Abstract: In this talk, we consider asymptotic behavior of the perturbed Hermitian-Yang-Mills equation on Higgs bundle. As its application. we establish the correspondence between rational connectedness in algebraic geometry and mean curvature positivity in differential geometry, and obtain the Miyaoka-Yau inequality for K\"ahler klt spaces with nef canonical line bundle. We also introduce our recent work on the structure of compact K\"ahler manifolds with nonnegative holomorphic sectional curvature. These works are joint with Chao Li, Shiyu Zhang and Chuanjing Zhang.