Theoretical advances in lattice QCD

The past few years have seen many interesting theoretical developments in lattice QCD. This talk (which is intended for non-experts) focuses on the problem of non-perturbative renormalization and the question of how precisely the continuum limit is reached. Progress in these areas is crucial in order to be able to compute quantities of phenomenological interest, such as the hadron spectrum, the running quark masses and weak transition matrix elements, with controlled systematic errors.