Description:

This mini-course will cover material from Chapters 1–9 and Chapters 17–18 of Peter Li’s Geometric Analysis. If time permits, we will also explore some selected topics from Chapters 20–24.

Prerequisite:

Riemannian geometry, Differential equations.

Related References:

Peter Li, Geometric Analysis, Cambridge Studies in Advanced Mathematics, vol. 134, Cambridge University Press, Cambridge, 2012. MR2962229.

R. Schoen and S.-T. Yau, Lectures on Differential Geometry, Conference Proceedings and Lecture Notes in Geometry and Topology, vol. I, International Press, Cambridge, MA, 1994. MR1333601.

Shing-Tung Yau, Perspectives on Geometric Analysis, in Geometry and Analysis, No. 2, Advanced Lectures in Mathematics (ALM), vol. 18, International Press, Somerville, MA, 2011, pp. 417–520. MR2882453.

Target Audience: Undergraduate students, Graduate students

Teaching Language: Chinese, English (depending on the students)

Registration: https://www.wjx.top/vm/h46Oe8O.aspx#