Chern-Weil theory and complex differential Geometry

时间: 每周二、周四13:30-15:05, 2019-9-10 ~ 2019-12-5


The first half of this course is about basic study on connections, curvature and characteristic classes. We start with connections for vector bundles including Levi-Civita connection for Riemannian manifolds and Chern connection for Hermitian vector bundles. Then we turn to connections for general principal bundles and the theory of characteristic classes (Chern-Weil theory). In the second half of the course some recent topics on complex/Kähler geometry will be discussed.


Basic knowledge on manifolds, Lie groups and Lie algebras.


[1] S.Kobayashi and K.Nomizu, Foundations of Differential Geometry I, II, 1996, Wiley Classics Library.

[2] S.S.Chern, Complex manifolds without potential theory, Van Nostrand Math. Series, 1967.

[3] A.Futaki, Kähler-Einstein metrics and integral invariants.  Springer Lecture Notes, vol. 1314, 1988.

  • 联系我们
  • 北京市海淀区清华大学静斋
  • +86-10-62773561 
  • +86-10-62789445 
版权所有© 2018 丘成桐数学科学中心