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Modern physics strives to understand from first principles the structure of space, time and matter on very large and very small scales, as well as in complex systems. To this end it is necessary to analyze the role of basic symmetries as well as the way they are broken. The ultimate goal is to find the „Weltformel“, namely to describe the fundamental forces and their interactions by a single coherent theory. Along the way it should hopefully become clear how the „smooth“ world that we experience emerges from the „chaotic“ principles of quantum physics. Mathematicians and theoretical physicists are cooperating to address specific questions of mathematical physics in the described framework. An important structural goal consists in broadening the base of this enterprise by also including fundamental experimental physics.