Arithmetic and Quantum Chaos
11:00 AM - 12:00 PM, Thursday Sep. 29, 901 Van Vleck
The distribution of eigenvalues and behavior of eigenfunctions of the Laplace-Beltrami operator for a smooth compact Riemannian manifold are central problems in the field of Quantum Chaos. For arithmetic surfaces such as torus and modular surface more can be proved by taking advantage of the extra arithmetic structure. In this talk I will describe these problems and mention some results in arithmetic settings which are (in part) proved using number theory.