Abstract: A key goal of the Ribe program is to provide metric characterizations of classical linear properties of norms in an attempt to create a nonlinear analogue of the local theory of Banach spaces. In this talk, we shall explore some recent advances in this direction, including the development of new bi-Lipschitz invariants for metric spaces, the refutation of conjectured metric analogues of classical results from the linear theory, and the emergence of new, purely metric phenomena within the Ribe program dictionary. The talk is based on joint works with Manor Mendel and Assaf Naor.

For further information please contact elisur.magrini@unibocconi.it