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The theory of hydrodynamics has proven to be one of the most broadly applicable paradigms in physics, describing the dynamics of systems ranging from conventional fluids to the quark-gluon plasma or the universe on large scales. Recently there has been a resurgence of interest for hydrodynamic techniques in certain condensed matter systems where strong interactions preclude a traditional perturbative treatment. I will present the techniques used in the field and show how they can be applied to address long-standing challenges in condensed matter physics: high temperature superconductors and the fractional quantum hall effect.

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