Dirac operators, automorphic forms, and some conformally flat manifolds

Dirac operators on spin manifolds have been studied extensively. Further Dirac operators in euclidean space have also been studied extensively. In this talk some attempt will be made to bring the two perspectived together. The context is that of conformally flat manifolds. Automorphic forms in n real variables will be used to develop aspects of function theory and classical harmonic analysis in this context.