Rene Cabrera

University of Massachusetts, Amherst

Talk Title: Optimal Transportation Along Paths

Abstract: In this talk we introduce the Monge-Kantorovich problem of optimally transporting one distribution of mass onto another, where optimality is measured against a cost function c(x,y). We state important results which solve Monge-Katorovich given by Gangbo and McCann. Connections to inequalities and partial differential equations will be briefly discussed. Lastly, a formulation of optimal transportation along paths will be described as well.