Wilhelm Schlag (UChicago) Title: Quasiperiodic Schroedinger operators with multiple frequencies We describe joint work with Michael Goldstein and Mircea Voda on discrete Schroedinger operators on the line with potentials defined on higher-dimensional tori. We describe properties of these operators related to Anderson localization, the separation of the eigenvalues, and the shape of the spectrum. The first talk will be a review of the field, whereas the second talk will present some more recent developments.