  The rheological behavior of soft glassy materials basically results from the
interplay between shearing forces and an intrinsic slow dynamics. This
competition can be described by a microscopic theory, which can be viewed as a
nonequilibrium schematic mode-coupling theory. This statistical mechanics
approach to rheology results in a series of detailed theoretical predictions,
some of which still awaiting for their experimental verification. We present
new, preliminary, results about the description of yield stress, flow
heterogeneities and activated processes within this theoretical framework.
