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Explore the foundational concepts of generalized hydrodynamics in this advanced lecture delivered by Benjamin Doyon at the International Centre for Theoretical Sciences. Delve into this cutting-edge theoretical framework that extends traditional hydrodynamics to describe the large-scale behavior of integrable quantum many-body systems and classical systems with infinitely many conservation laws. Learn how generalized hydrodynamics provides a powerful tool for understanding transport phenomena in one-dimensional quantum gases, spin chains, and other integrable models where conventional hydrodynamic approaches fail. Discover the mathematical foundations underlying this theory, including the role of quasiparticles, local conservation laws, and the emergence of ballistic transport in integrable systems. Examine how this framework connects microscopic quantum mechanics with macroscopic fluid-like behavior, bridging statistical mechanics and hydrodynamics in novel ways. Gain insights into recent developments in non-equilibrium statistical physics and their applications to cold atomic gases, quantum spin systems, and other experimental platforms. This lecture forms part of the Bangalore School on Statistical Physics-XVI, designed to bridge the gap between master's-level coursework and frontline research topics for PhD students, postdoctoral researchers, and faculty members working in statistical physics and related fields.
