## Nodal domains for Maass forms

Peter Sarnak

Professor, School of Mathematics

March 9, 2018

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 ) .

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 ) .