Seminario del 2019

Aprile
17
2019
Luigi Ambrosio
Calculus, heat flow, optimal transport and curvature-dimension bounds in metric measure spaces
nell'ambito della serie: COLLOQUIO DI DIPARTIMENTO
In this survey lecture, modelled in large part on the ICM2018 one, I will illustrate the most recent developments on calculus in metric measure spaces and the key role played by the theory of optimal transport in the derivation of synthetic lower bounds on Ricci curvature and upper bounds on dimension, for metric measure structures. If time permits, I will also illustrate the emerging role of optimal transport and gradient flows in the field of machine learning.
organizzato da: Pierluigi Contucci e Alberto Parmeggiani
nell'ambito del Progetto Dipartimento PROGRAMMA MATEMATICA del prof. Giovanni Dore

indietro