中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
多复变与复几何研讨班
Speaker: 杨晓奎 教授 （清华大学）
Inviter: 周向宇 院士
Language: Chinese
Title: A vector bundle analogue of the Calabi-Yau theorem
Time & Venue: 2026年7月14日（星期二） 19:00 - 20:30 南楼N913
Abstract: We present a solution to the prescribed Hermitian-Yang-Mills (HYM) tensor equation on compact complex manifolds. This result serves as a natural vector bundle analogue of the classical Calabi-Yau theorem. As applications, we derive intrinsic Chern number inequalities for vector bundles and establish the existence of canonical metrics on Fano manifolds.