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The winter school aims to provide an introduction to the mathematical theory of open quantum systems. Open quantum systems is a fascinating subject which has undergone a rapid development over the last fifteen years and where the basic mathematical principles only finally has begun to shape. It lies at the junction of many mathematical disciplines such as functional analysis, operator algebras, spectral theory, stochastic processes, and statistical quantum mechanics and for this reason is not easy to master. Moreover, numerous applications in the natural sciences are characteristic of this subject. The program will consist of four main lecture series delivered by leading experts in their respective fields. Additionally, there will be time for discussions and short presentations by the participants. The school mainly addresses doctoral students and young researches, but it is open to anyone who wants to get acquainted with the mathematical foundations of this beautiful theory.