Dynamics Seminar

Event Information Arnold diffusion and Mather theory
15:10 on Monday September 16, 2013
16:00 on Monday September 16, 2013
BA6183, Bahen Center, 40 St. George St.
Ke Zhang

University of Toronto

A conjecture of Arnold states that a typical perturbation of a completely integrable Hamiltonian system with more than two degrees of freedom is topologically unstable. J. Mather announced a proof for two and half degrees of freedom in 2003. Recently with V. Kaloshin we gave an alternative proof. I will outline the proof, and discuss in particular how one of the difficulties is overcome using Mather theory and weak KAM theory.