The Jacobian property is a technical condition that one can request for definable functions in valued fields. It plays, for instance, an important role in recent developments of model-theoretic Motivic Integration. In this talk I will discuss its importance in the study of singularities of definable sets in valued fields, focusing mainly on stratifications and tangent cones. To finish, I will comment on the proof that the Jacobian property holds for definable functions in power bounded T-convex fields (also known, misleadingly, as power bounded 'o-minimal valued fields').
