Séminaire de Luigi DePascale (univ. di Firenze, Italie)
The sufficiency of c-cyclical monotonicity for optimality of optimal transport plans.
Résumé : c-cyclical monotonicity is the most important optimality condition for an optimal transport plan. While the proof of necessity is relatively easy, the proof sufficiency is often more difficult or even elusive. I will present a new approach developed in collaboration with A. Kausamo. I will show how known results are derived in this new framework and how this approach allows to prove sufficiency in situations previously not treatable.