Spectral theory is a fundamental tool for the investigation of locally symmetric spaces which, in the classical context, usually have finite volume. Already for spaces real rank one, say quotients of the upper half plane by a discrete group of infinite covolume, very interesting and characteristic spectral phenomena happen. The case of higher rank spaces of infinite volume is largely unknown territory. This projects aims at initiating first steps in the study of their spectral properties.
DFG Programme
CRC/Transregios
