This IAU-symposium was the first which was entirely dedicated to dynamo processes, which are fundamental on all cosmical scales. Dynamo theory concerns one of the few truly key questions of recent cosmic physics. There is increasing evidence for the magnetic character of most short-term activity phenomena in astrophysics. Obviously, the tria. ngle "gravil;y, nuclea. r power, magnetism" dictates cosmic evolution over a very broad scale of magnitudes. A complicated interplay of rotation, magnetism and turbulence, that is hard to resolve, determines stellar and galactic activity for almost all...