Harmonic maps and heat flows
Student No.:50
Time:Thu/Sat 15:10-17:30, 2014-10-16~ 2014-12-31(expect for public holidays)
Instructor:Ning Jiang  [Tsinghua University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2014-10-16
Ending Date:2014-12-31



In this course we will introduce the basic idea and results of harmonic maps and their heat flow. Including Schoen-Uhlenbeck's regularity on the energy minimizing maps, Sacks-Uhlenback's theorem and Eells-Sampson's heat flow on non-positive curvature manifolds and blow-up analysis of 2-D heat flows.



Basic Elliptic and parabolic PDEs and Remannian geometry