  We summarize results of recent studies of heavy quarkonia correlators and
spectral functions at finite temperatures from lattice QCD and systematic
T-matrix studies using QCD motivated finite-temperature potentials. We argue
that heavy quarkonia dissociation shall occur in the temperature range $1.2 \le
T_d/T_c \le 1.5$ by the interplay of both screening and absorption in the
strongly correlated plasma medium. We discuss these effects on the quantum
mechanical evolution of quarkonia states within a time-dependent harmonic
oscillator model with complex oscillator strength and compare the results with
data for $R_{\rm AA}/R_{\rm AA}^{\rm CNM}$ from RHIC and SPS experiments. We
speculate whether the suppression pattern of the rather precise NA60 data from
In-In collisions may be related to the recently discovered X(3872) state.
Theoretical support for this hypothesis comes from the cluster expansion of the
plasma Hamiltonian for heavy quarkonia in a strongly correlated medium.
