International Summer School on Fully Nonlinear PDE and Applications
Center of Mathematical Sciences, Zhejiang University，Hangzhou, China
5/23-6/10, 2005
http://cms.zju.edu.cn/conference/2005/PDE/
A partial differential equation (PDE) is fully nonlinear if it is nonlinear with respect to the highest order derivatives. Fully nonlinear PDEs arise in many different areas in geometry and physics. The most well-known examples are the Monge-Ampere equation, which relates to curvature problems in geometry, and the Bellman equation, which arises in stochastic control theory. The study of fully nonlinear PDEs has been a very active area in the last two decades and remarkable advances have been made. This program will emphasize recent new developments in this field.
The 2005 programme will consists of short lecture series and research seminars in the first two weeks, and a workshop in the last week. Lectures series will cover topics including regularity and variational properties for the Hessian and curvature equations, fully nonlinear version of the Yamabe problem in conformal geometry, regularity of the Monge-Ampere equation and applications to the Bernstein and Plateau problems for the affine maximal surface equation, and the optimal transportation problem.
Orzanizing Committee:
Jia-Xing Hong (Fudan U)
Kefeng Liu (UCLA and CMS/ZJU)
Wei-Min Sheng (Zhejiang U)
Neil Trudinger (ANU)
Xu-Jia Wang (ANU)
Hong-Wei Xu (CMS, Zhejiang U)
Shing-Tung Yau (Harvard U)
LECTURE SERIES
Robert McCann, University of Toronto
(Optimal Transportation)
Jeff Viaclovski, MIT
(Conformal Geometry)
Neil Trudinger and Xu-Jia Wang, The Australian National University
(Affine Geometry and Hessian and curvature equations)
Research lectures
Ben Andrews, The Australian National University
Jiaxing Hong, Fudan University
Nina Ivochkina, St. Petersburg
Nikolai Krylov, University of Minnesota
Mikhail Safonov, University of Minnesota
Local Organizer
Wei Chen : cw@cms.zju.edu.cn