John Ryan am 15.2.06 (Univ. of Arkansas)

Dirac operators, automorphic forms, and some conformally flat manifolds

Abstract: 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.

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