  I review the status of the Complex Langevin method, which was invented to
make simulations of models with complex action feasible. I discuss the
mathematical justification of the procedure, as well as its limitations and
open questions. Various pragmatic measures for dealing with the existing
problems are described. Finally I report on the progress in the application of
the method to QCD, with the goal of determining the phase diagram of QCD as a
function of temperature and baryonic chemical potential.
