Phases and properties of quark matter

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I review recent developments in finite temperature lattice QCD which are useful for the study of heavy-ion collisions. I pay particular attention to studies of the equation of state and the light they throw on conformal symmetry and the large N_c limit, and to the structure of the phase diagram for N_f=2+1.
Plenary talk at Quark Matter 2008, Jaipur, India (8 pages, 5 figures)

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