The Oliver Club

Thursday, November 13, 2014at 4:00 PM in 532 Malott Hall

www.math.corne l l . edu/~ol iver/

Refreshments will be served at 3:30 PM in the Mathematics Department lounge (532 Malott Hall).

Vadim Kaloshin, University of Maryland

Genericity of Arnold’s DiffusionGenericity of Arnold’s Diffusion

In the early 1960s Arnold constructed

an example of instabilities for a nearly

integrable Hamiltonian of dimension

greater than two and conjectured that

this is a generic phenomenon. This is

now known as Arnold diffusion. In the

last two decades a variety of powerful

techniques to attack this problem were

developed. We will discuss two such

techniques — invariant cylinders and

Mather variational method — which

have led to recent progress on this

problem.