The Oliver Club Thursday, November 13, 2014 at 4:00 PM in 532 Malott Hall www.math.cornell.edu/~oliver/ 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 Diffusion Genericity 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.