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This is a paper compiled by students of the 2008 Summer School on Particles,Fields, and Strings held at the University of British Columbia on lecturesgiven by Veronika Hubeny as understood and interpreted by the authors. We startwith an introduction to the AdS/CFT duality. More specifically, we discuss thecorrespondence between relativistic, conformal hydrodynamics and Einstein'stheory of gravity. Within our framework the Einstein equations are an effectivedescription for the string theory in the bulk of AdS_5 spacetime and thehydrodynamic fluid equations represent the conformal field theory near thermalequilibrium on the boundary. In particular we present a new technique forcalculating properties in fluid dynamics using the stress-energy tensor inducedon the boundary, by the gravitational field in the bulk, and comparing it withthe form of the stress-energy tensor from hydrodynamics. A detailed treatmentcan be found in [JHEP 02 (2008) 045] and [arXiv:0803.2526].

The fluid/gravity correspondence: Lectures notes from the 2008 Summer School on Particles, Fields, and Strings