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Explore advanced concepts in generalized hydrodynamics through this lecture delivered by Benjamin Doyon as part of the Bangalore School on Statistical Physics-XVI. Delve into sophisticated theoretical frameworks that extend traditional hydrodynamic approaches to quantum integrable systems and many-body physics. Learn how generalized hydrodynamics provides powerful tools for understanding transport phenomena in strongly correlated quantum systems, including the emergence of ballistic transport and the role of quasiparticle excitations. Examine the mathematical foundations underlying this field, including the thermodynamic Bethe ansatz and its applications to non-equilibrium dynamics. Discover how this framework connects microscopic quantum mechanics to macroscopic transport properties, bridging scales from individual particle interactions to collective behavior. Gain insights into current research frontiers where generalized hydrodynamics is being applied to understand exotic phases of matter and transport in low-dimensional quantum systems. This pedagogical presentation is designed for Ph.D. students, postdoctoral researchers, and faculty members seeking to understand cutting-edge developments in statistical physics and quantum many-body theory.
