Hydrodynamics is a physical theory which describes long wavelength phenomena.  Any introductory physics textbook indicates that the applicability of hydrodynamics is restricted to be near to local thermal equilibrium. This assumption seems to be very restrictive given the overwhelming experimental evidence of fluid behavior seen in nucleus-nucleus collisions and cold atoms systems. The fact that hydrodynamics can be applied to these non-equilibrated physical systems calls for a better understanding of the foundations of hydrodynamics. In this talk I will discuss the most recent developments of the theory for in and out of equilibrium fluids. I shall present new theoretical results related to the emergence of non-equilibrium constitutive relations in hydrodynamics and non-hydrodynamic transport in kinetic theory. I shall also introduce in a pedagogical manner the ideas behind resurgence and transseries which are used frequently to analyze nonlinear differential equations in the context of hydrodynamics. I will conclude by discussing new possibilities for future research directions.

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The talk will be live-streamed (but not recorded) via Zoom under
https://uni-frankfurt.zoom.us/j/2848286010?pwd=VmtCY1RCc1hpVStKd0RibFBpc1IzZz09