本课程专注于对李群理论的介绍，尤其侧重于它同微分几何之间的联系。本课程选用的教材是《微分几何、李群和对称空间》（Sigurdur Helgason著，美国数学协会，2001年版）。
This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001).
本课程的内容主要基于教材第一章的前半部分和第二章。然而课程还将简单介绍了基本的黎曼几何和复流形的知识，并会详细讨论半单李群和对称空间的理论。
Much of the course material is based on Chapter I (first half) and Chapter II of the text. The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces.
