Exploring Constructive Approaches and Defining Distance in Metric Spaces

In this episode, we have the pleasure of hosting Luigi Ambrosio, a Professor at the Scuola Normale Superiore in Pisa, Italy, as our guest. Professor Ambrosio, who recently co-authored the new textbook "Lectures on Optimal Transport" with Elia Brué and Daniele Semola, engages in a lively conversation with Alfio Quarteroni, a Professor at Politecnico di Milano. During this special interview, which is hosted by Professor Quarteroni, Professor Ambrosio shares his insights on topics such as optimal transport, the evolution of mathematics in Italy, strategies for motivating young mathematicians, and unsolved problems in his field. Originally aired by the UNITEXT Springer Nature Webinars series, this interview has been specifically adapted for the podcast format.