The talk will describe the asymptotics of minimal submanifolds in spaces which are the product of an asymptotically hyperbolic manifold and a compact Riemannian manifold.  Such spaces arise in the AdS/CFT correspondence in physics.  Results include the derivation of a minimality constraint on the boundary submanifold and an identification of the local data necessary to determine the asymptotics.  Examples will be presented. This is joint work with Andreas Karch.