The Springer Math Podcast
Exploring the World of Optimal Transport: Luigi Ambrosio interviewed by Alfio Quarteroni
May 9, 2023
Listen to a lively conversation between Professor Ambrosio and Professor Quarteroni as they discuss optimal transport, the evolution of mathematics in Italy, motivating young mathematicians, and unsolved problems in the field. Explore the process of writing advanced mathematical books, the Italian scientist diaspora, challenging open problems in mathematical analysis, defining distance in metric spaces, and the synergy of mathematics and machine learning.
41:36
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Quick takeaways
- Luigi Ambrosio emphasizes the pedagogical value of the 'Lectures on Optimal Transport' book, structured for course use, capturing the rapid growth of optimal transport theory.
- Ambrosio highlights the significance of functional analysis in understanding PDEs through optimal transport concepts, fostering advancements in geometric analysis.
Deep dives
Evolution of Optimal Transport Research
Luigi Ambrosio discusses the evolution of his interest in optimal transport dating back to a summer school in Madeira, highlighting the shift towards focusing on optimal transport due to its compelling nature. He shares his journey of developing course notes that eventually culminated in the co-authoring of the book 'Lectures on Optimal Transport'. Ambrosio emphasizes the book's pedagogical value by structuring it for use in courses, providing a comprehensive resource while mentioning the challenges of encompassing the rapid growth of optimal transport theory within a single text.
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