Joint IAS/PU Groups and Dynamics Seminar

A classical problem in harmonic analysis is to understand how the mass of Laplace eigenfunctions distributes as their parameters tend to infinity. In this talk, I will consider this problem on arithmetic hyperbolic surfaces obtained as quotients of...

How many closed geodesics with length less than $L$ are there on a hyperbolic surface? Classical results of Huber and Margulis say that the counting function has asymptotics $\frac{e^{L}}{L}$. When one is concerned with closed geodesics of a fixed...