On the Cuspidal Cohomology of S -Arithmetic Subgroups of Reductive Groups over Number Fields

Zusammenfassung

The main goal of this paper is to prove the existence of cuspidal automorphic representations for some series of examples of S -arithmetic subgroups of reductive groups over number fields which give rise to non-vanishing cuspidal cohomology classes. In order to detect these cuspidal automorphic representations we combine two techniques, both of which can be seen as special cases of Langlands functoriaIity.