Supergravity couplings: a geometric formulation

This report provides a pedagogical introduction to the description of the general Poincaré supergravity/matter/Yang–Mills couplings using methods of Kähler superspace geometry. At a more advanced level this approach is generalized to include tensor field and Chern–Simons couplings in supersymmetry and supergravity, relevant in the context of weakly and strongly coupled string theories.