Matt Young - Rutgers
Date/Time/Location
Thursday, February 26, 2026, 12:10 pm; Hill Center 705
Eisenstein series and equidistribution
Quantum chaos predicts that high energy eigenfunctions of the Laplacian on a negatively curved surface should exhibit chaotic behavior. For the modular surface SL_2(Z)H, the Laplace eigenfunctions also have deep arithmetical meaning. The Eisenstein series are a continuous family of eigenfunctions that can be written explicitly and are relatively more tractable to study. I will survey the properties of these Eisenstein series and discuss some results establishing various forms of equidistribution which are in line with quantum chaos.