In this talk we will address different variants of the classical Rademacher theorem in the setting of metric measure spaces. Some of he fundamental results by Kirchheim and Cheeger in this direction will be briefly reviewed. Furthermore, we will consider the notion of metric differentiability defined in terms of Lipschitz charts of the space, and its connections with rectifiability properties of the underlying space. The talk is based on joint work with I. Caamaño, E. Durand-Cartagena, A. Prieto and E. Soultanis.
Professor Jaramillo will stay in Warsaw until Friday 17.I.