Institut de Mathématiques de Toulouse

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  • Séminaire doctorants Picard

    Lundi 8 janvier 13:30-14:30 - Jian Ye

    Regularity of optimal transport map on compact Riemannian manifolds

    Résumé : In this seminar, we will introduce the regularity of optimal transport map on compact Riemannian manifolds. Firstly, we recall the basic facts about the optimal transport theory on compact Riemannian manifold. Secondly, we review the developments of the regularity of the optimal transport map on compact Riemannian manifold. Thirdly, by the method of continuity, we prove the smoothness of optimal transport map on two classes of compact Riemannian manifolds:nearly spherical manifolds and Riemannian products of nearly spherical manifolds.

    Lieu : Salle Picard (1R2)

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