  We review recent theoretical progress on the dynamics of brittle crack fronts
and its relationship to the roughness of fracture surfaces. We discuss the
possibility that the intermediate scale roughness of cracks, which is
characterized by a roughness exponent approximately equal to 0.5, could be
caused by the generation, during local instabilities by depinning, of
diffusively broadened corrugation waves, which have recently been observed to
propagate elastically along moving crack fronts. We find that the theory agrees
plausibly with the orders of magnitude observed. Various consequences and
limitations, as well as alternative explanations, are discussed. We argue that
another mechanism, possibly related to damage cavity coalescence, is needed to
account for the observed large scale roughness of cracks that is characterized
by a roughness exponent approximately equal to 0.8
