|An introduction to Plateau’s problem in arbitrary dimension|
|Time：||Mon/Wed 15:10-17:00, 2015-07-20 ~ 2015-08-12|
|Instructor：||Xiangyu Liang [University of Paris Sud 11]|
|Place：||Conference Room 1, Floor 1, Jin Chun Yuan West Building|
In this course, we will introduce necessary preliminaries: Hausdorff measure, Lipschitz maps, rectifiable sets, Federer-Fleming projection, etc. in the first part. In the second part of the course, we will discuss different mathematical approaches to Plateau’s problem.
Real analysis (a graduate level or advanced undergraduate level course is recommended).
H. Federer, Geometric measure theory.
P. Mattila, Geometry of Sets and Measures in Euclidean Spaces.
G. David & S. Semmes, Uniform Rectifiability and Quasiminimizing Sets of Arbitrary Codimension.