课程名称：Invariant Metrics in Several Complex Variables

课程简介：

There is no Riemann mapping theorem in several complex variables. It is therefore important to study quantities that are invariant under biholomorphic mappings. The following invariant metrics have played important roles in several complex variables: The Kobayashi metric, the Carath\'{e}odory metric, the Bergman metric, and the Cheng-Yau metric. The first two metrics are (non-smooth) complex Finsler metrics that satisfy the length decreasing property under holomorphic mappings while the last two are K\"{a}hler metrics. In these lectures, we plan to cover the following topics:

(1) Basic properties of the invariant metrics.

(2) Comparison of the invariant metrics on convex domains.

(3) Estimates of the invariant metrics on strongly and weakly pseudoconvex domains.

(4) Lu Qi-Keng's theorem and the Cheng-Yau conjecture.

授课教师：符斯奇 教授 （美国罗格斯大学）

授课对象：研究生

上课时间和地点：

2019年6月27日，星期四，14:30-17:30；

2019年6月28日，星期五，8:30-11:30；

2019年6月30日，星期六，14:30-17:30；

2019年7月1日，星期一，8:30-11:30；

2019年7月3日，星期三，14:30-17:30；

海韵实验楼106

欢迎同学们前来听课!