  We derive an extension of the mode coupling theory for the liquid-glass
transition to a class of models of confined fluids, where the fluid particles
evolve in a disordered array of interaction sites. We find that the
corresponding equations are similar to those describing the bulk, implying that
the methods of investigation which were developed there are directly
transferable to this new domain of application. We then compute the dynamical
phase diagram of a simple model system and show that new and nontrivial
transition scenarios, including reentrant glass transitions and higher-order
singularities, can be predicted from the proposed theory.
