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Optimal Transportation and Applications

From reverse Poincaré inequalities to bounds on Kantorovich distances

speaker: Nicolò De Ponti (SISSA Scuola Internazionale Superiore di Studi Avanzati )

abstract: We show how the heat semigroup can be used to systematically produce analytic and geometric boundsinvolving the Kantorovich-Wasserstein distances. A central role will be played by reverse Poincaré-typeinequalities, that we deduce under infinite dimensional Ricci curvature bounds. Based on joint works with S. Farinelli, G. Stefani, L. Tamanini.

timetable:
Tue 25 Oct, 16:55 - 17:20, Aula Magna Bruno Pontecorvo
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