The seminar will review recent explicit constructions of string duality relations in the context of general supergravity backgrounds, including Ramond-sector fields. Insistence on geometrically covariant constructs is repaid by a much greater transparency of the action of string dualities. Specific cases to be discussed will be details of the IIA/IIB T-duality, and the relationship between M-theory and the
massive IIA theory needed for the existence of domain walls.