Nodal domains for Maass forms

Abstract: A highly excited Maass form on a hyperbolic surface is expected to behave like a random monochromatic wave . We will discuss this in connection with the question of the nodal domains of such forms on arithmetic hyperbolic surfaces with a reflection symmetry . ( Joint work with A.Ghosh and A.Reznikov we will also discuss a recent result of J.Jang and J.Jung ) .