Hamiltonian systems: symplectic and contact
Student No.:50
Time:Mon 15:10-17:00, 2016-02-22~ 2016-06-06 (except for public holidays)
Instructor:Lin Wang  [Tsinghua University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2016-2-22
Ending Date:2016-6-6


First, I will introduce some basic parts of Mather theory on Hamiltonian systems and weak KAM theory on certain Hamilton-Jacobi equations. Second, I will touch the counterparts of those theories on contact Hamiltonian systems and general Hamilton-Jacobi equations.







Basic theory of ODE, PDE and calculus of variations







Arnold, V. I., Mathematical Methods of Classical Mechanics, (Graduate Texts in Mathematics, Vol. 60) 2nd Edition.



Fathi, A., The Weak KAM Theorem in Lagrangian Dynamics, Cambridge Stud. Adv. Math., vol. 88, Cambridge: Cambridge Univ. Press



Sorrentino, A. Action-minimizing Methods in Hamiltonian Dynamics: An Introduction to Aubry-mather Theory, Princeton Univ Press