Résume | In a recent paper Lärkäng, Raufi, Ruppenthal, and Sera constructed Chern forms, or rather currents, associated with a Griffiths positive singular metric ℎ on a holomorphic vector bundle E, that is non-degenerate outside a variety of codimension at least . I will discuss a joint work with Lärkäng, Raufi, and Sera, where we define Chern forms for any in the case when ℎ has analytic singularities. Our construction uses a generalized Monge-Ampère operator for plurisubharmonic functions with analytic singularities, recently introduced by Andersson and me. Moreover our Chern forms coincide with the Lärkäng-Raufi-Ruppenthal-Sera when these are defined |