Canonical Metrics in Differential Geometry

任课教师:张蓥莹
时间: 每周一、周三09:50-11:25,2019-9-9 ~ 2019-12-4
地点:清华大学近春园西楼第一会议室

课程描述

The canonical metrics play an important role in the investigation of geometry and topology of a manifold. The existence of canonical metrics is associated to the study of certain partial differential equations arising from geometry. The course will focus on the existence of Kahler-Einstein metrics on a compact complex manifold with a definite sign of the first Chern class, both elliptic arguments and parabolic arguments will be provided. We will also talk about Hamilton’s work on Ricci flow on compact manifolds in dimension 2, 3, 4.

预备知识

One semester courses of complex geometry, Riemannian geometry and partial differential equations.

参考资料


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