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The meeting was organized by Christopher Deninger (M\"unster), Peter Schneider (M\"unster) and Anthony Scholl (Cambridge). The subject of the conference was Algebraic Number Theory and Arithmetic Algebraic Geometry. It brought together internationally leading experts in these areas as well as a considerable number of young researchers. Correspondingly the talks were a mixture of lectures on recent important progress by experts and of reports about outstanding dissertations. This created a very stimulating atmosphere for discussions and exchange of ideas.