Dmitry Jakobson (McGill University), Analysis and PDE Seminar

Title: Sharp resonances and large covers of hyperbolic surfaces

Abstract:  This is joint work with F. Naud and L. Soares.  After reviewing general results about resonances on hyperbolic manifolds, we discuss the spectral properties of infinite area hyperbolic surfaces in families of covers. Depending on the structure of the covering groups we establish several asymptotic results on the distribution of resonances in the large degree limit.