Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Topic: Nodal domains for Maass forms

Speaker: Peter Sarnak

Affiliation: Professor, School of Mathematics

Date & Time: Friday March 9th, 2018, 2:30pm - 3:30pm

Location: Simonyi Hall 101

Video: https://video.ias.edu/RepTheoryAnalysisLocallySymmetricSpaces/2018/0309-PeterSarnak

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 ) .