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We discuss recent lattice results on in-medium properties of hadrons andfocus on thermal properties of heavy quark bound states. We will clarify therelation between heavy quark free energies and potentials used to analyze themelting of heavy quark bound states. Furthermore, we present calculations ofmeson spectral functions which indicate that the charmonium ground states,J/psi and eta_c, persist in the quark gluon plasma as well defined resonanceswith no significant change of their zero temperature masses at least up to T ~1.5 T_c. We also briefly comment on the current status of lattice calculationsat non-vanishing baryon number density.Comment: Plenary talk at the 17th International Conference on Ultra  Relativistic Nucleus-Nucleus Collisions (Quark Matter 2004), Oakland,  California, 11-17 Jan 2004. Submitted to J.Phys.

News from lattice QCD on heavy quark potentials and spectral functions of heavy quark states