Colloquium: Tuesday, December 22, 2pm. Speaker: Mira Shamis (Weizmann) . Title: Applications of discrete Schrodinger equations to the standard map.

We shall discuss the Chirikov standard map, an area-preserving map of the torus to itself in which quasi-periodic and chaotic dynamics are believed to coexist. We shall describe how the problem can be related to the spectral properties of a one-dimensional discrete Schrodinger operator, and present a recent result. Based on joint work with T. Spencer.