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This course explores the universal aspects of many-body systems far from equilibrium, focusing on novel phases of matter and their associated universality classes. It covers topics such as short-time universality, entanglement dynamics, and mapping between classical and quantum non-equilibrium systems. The goal is to identify aspects of high-energy physics that can inform non-equilibrium condensed and AMO systems, and vice versa. The intended audience includes scientists and researchers from the fields of statistical physics, atomic, molecular, and optical physics, condensed matter physics, and high-energy physics. The teaching method involves lectures and discussions led by experts in the field.