  After discussing results of dilepton rates and electrical conductivity
obtained from continuum extrapolated results of light quark correlation
functions in quenched QCD I will give a review on recent developments in
lattice QCD studies for quarkonia in the quark gluon plasma. Recent progress in
the extraction of spectral properties from lattice QCD calculations of hadronic
correlation functions will be discussed. Besides medium modifications of bound
states and their dissociation in the plasma I will focus on transport
coefficients, like heavy quark diffusion constants extracted from different
correlation functions on the lattice. Present limitations and future
perspectives for studies of quarkonia and related transport coefficients on the
lattice will be discussed.
