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This course aims to explore universal aspects of many-body systems far from equilibrium, focusing on novel phases of matter and associated universality classes. It covers topics such as short-time universality, entanglement dynamics, and mapping between classical and quantum non-equilibrium systems. The teaching method involves lectures and discussions led by experts in statistical physics, AMO, condensed matter, and high-energy physics. This course is intended for scientists and researchers interested in non-equilibrium many-body physics and the intersection of various fields such as statistical physics, AMO, condensed matter, and high-energy physics.