Title: Rates of convergences of one-dimensional empirical measures
with respect to the transport distances.

Abstract: Let F_n denote the empirical measure constructed for a sample of size n drawn from the unknown (one-dimensional) distribution F. We will discuss possible rates of convergences of F_n to F in the sense of the power Kantorovich transport distances W_p (as functions of the growing n). The talk is based on a joint work with Michel Ledoux.