学术报告

走向现代数学-系列学术报告(No.419)(张雅山 副教授)

报告题目:Almost nonpositive holomorphic sectional curvature and applications

报告人:张雅山 副教授(湖南大学)

时间:4月2日(周五)上午10:00-12:00

地点:学术报告厅(工西416)

摘要:Negativity of the holomorphic sectional curvature (HSC) plays fundamental roles in several topics in complex geometry. For example, a conjecture of Yau in 1970's predicts that the negativity of HSC should be intimately related to the positivity of the canonical line bundle. In this talk we shall first recall recent progresses on Yau's conjecture. We then, with natural motivations, introduce an "almost" nonpositivity notion for HSC on compact Kaehler manifolds and its applications, including positivity of the canonical line bundle, Chern number inequalities and several new rigidity theorems for holomorphic maps.