It has been well known and used extensively that the lowest eigenmodes of the QCD quark Dirac operator are described by random matrix theory. More recently it was shown that the high-temerature cross-over to the quark-gluon plasma state is accompanied by an Anderson-type transition in the quark Dirac spectrum. In the talk I will review some recent results concerning this transition. (The presentation will be quite elementary, in particular no familiarity with QCD will be assumed.)