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Explore the fascinating intersection of holography and fluid dynamics in this 2-hour conference lecture delivered at the International Centre for Theoretical Sciences. Delve into the theoretical framework of holographic fluids and examine their fluctuation properties through the lens of the AdS/CFT correspondence. Learn how black hole geometries map onto relativistic Navier-Stokes equations via fluid-gravity duality, and discover how thermal relaxation processes correspond to quasi-normal mode decay in gravitational systems. Investigate the geometric interpretation of entanglement growth as surface evolution and understand how string theory techniques provide unique insights into thermalization phenomena in low-dimensional fermionic systems. Gain exposure to cutting-edge research that bridges the gap between classical hydrodynamics, quantum many-body systems, and holographic theories, as part of a comprehensive program on hydrodynamics, fluctuations, and noise in quantum and classical systems.
