Series
Machine Learning seminars
Title
Optimal transport and gradient flows
Speaker
Giuseppe Savarè
Abstract
Monge Optimal Transport problems (1781) have been formulated as a distinguished example of Linear Programming by Kantorovich: his contributions “to the theory of optimum allocation of resources” was awarded the Nobel prize for economics in 1975. More recently, after the pioneering papers by Brenier and by Ambrosio, Evans, McCann, Otto, Villani, Optimal Transport theory attracted a lot of attention and has been developed in many directions, with beatiful applications to probability, statistics, kinetic models, measure theory, functional analysis, partial differential equations, Riemannian geometry. After a brief introduction to the main aspects of the theory, the talk aims to discuss its dynamical formulation and its connection with evolution problems and gradient flows.
Bio
Giuseppe Savaré is full professor of Mathematical Analysis at Pavia University.
His current research interests involve Optimal Entropy-Transport problems and variational methods for gradient flows and rate-independent evolutions. In 1994 he received the Gioachino Japichino Prize awarded by the Accademia Nazionale dei Lincei to a mathematician (under 30 years of age) for a relevant publication in Analysis and in 2011 he received the Ennio De Giorgi Prize, awarded by the Italian Mathematical Union to a mathematician under 45 years of age.
Date Wednesday, March 20th, 2019
Time 3:00 p.m.
Location DIBRIS- Room 705, via Dodecaneso 35, Genova