|The theory of Ricci limit spaces|
|Time：||Mon 10:10-12:00, 2016-02-22~ 2016-06-06 (except for public holidays)|
|Instructor：||Guoyi Xu [Tsinghua University]|
|Place：||Conference Room 4, Floor 2, Jin Chun Yuan West Building|
This course is the sequel to Geometric Analysis course I taught in Tsinghua Math department 2015 fall. We will continue the study of Gromov-Hausdorff convergence. More concretely, we will study Cheeger-Colding’s theory of Ricci limit spaces in details, and the recent progress of Colding-Naber will also be addressed. No textbooks, lecture notes will be distributed in the class.
One semester PDE course, and Riemannian Geometry course are required. Some stuff on Gromov-Hausdorff convergence is assumed, for students not attending Geometric Analysis course in 2015 fall, the lecture notes of fall can be obtained by asking the instructor.
Cheeger-Colding’s paper in 1990’s, Colding-Naber’s paper in 2010’s