Spectral Asymptotics for the Laplace Operator
Student No.:50
Time:Tue./Wed. 08:00-09:50
Instructor:John Toth  [McGill University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building (近春园西楼)
Starting Date:2012-5-8
Ending Date:2012-5-23

Course description:
The course will cover basic spectral asymptotics for the Laplace operator. I will focus on asymptotic eigenfunction $L^p$-bounds, including recent results on hypersurface restriction bounds. If time permits, I will also cover some recent results on asymptotic properties of eigenfunction nodal sets.


I will assume a good background in basic real analysis and some elementary Riemannian geometry. Some background in linear partial differential equations would be useful but not necessary.


Reference for the course:
The Analysis of Linear Partial Differential Operators (volume I) (Hormander)