Joint Princeton University/Rutgers/Institute for Advanced Study

NUMBER THEORY SEMINAR
for 5/5/2003

Andreas Strombergsson
Princeton University

Horocycles and equidistribution

Abstract

I will discuss some questions regarding equidistribution and rates of convergence of ergodic averages in the setting of the horocycle flow on the unit tangent bundle of a non-compact hyperbolic surface of finite area.  One of the problems which I will discuss is related to the pair correlation density of the sequence  $n^2 a$  modulo one. (Joint work with Jens Marklof.)