Title: Spectral Theory of Random Schrodinger Operators

Abstract: We will give a brief introduction to the mathematical theory of

random Schrodinger operators. These operators show quite unusual spectral

behavior. If the disorder is large enough, then the random Schrodinger

operators have dense point spectrum with exponentially decaying

eigenfunctions (Anderson localization). This is a reflection of the

physical fact that the strongly disordered systems (for example well mixed