I will discuss recent progress towards understanding geometric and holographic aspects of electromagnetic duality in four-dimensional supergravity. More concretely, I will focus on the connection between electromagnetic duality and the existence of new classes of supersymmetric S-fold backgrounds of type IIB supergravity. These provide natural candidates to holographically describe new strongly coupled three-dimensional CFT’s which are localised on interfaces of N=4 super-Yang-Mills theory.