| Résume | In this talk we will present new results on the arithmetic of automorphic forms of the group $GL(n,D)$, $D$ being a central simple division algebra over a number field $F$. Our results are generalizations of results obtained in the split case, i.e., $D=F$, by Shimura, Harder, Waldspurger and Clozel for square-integrable automorphic forms and also of Franke and Franke-Schwermer for general automorphic representations. The global Jacquet-Langlands Correspondence, which was recently developed by Badulescu and Badulescu-Renard, will be an important tool. (This is joint work with A. Raghuram.) |
