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This work is closely tied to the renowned mathematics textbook series known as UNITEXT. UNITEXT is a series of textbooks tailored for university students pursuing bachelor's or master's degrees. What sets this particular book apart in the Springer collection is its unique origin. It has been crafted through a meticulous process involving interviews with world-class mathematicians. These interviews were initially shared as podcasts and originally broadcasted as online events on the Cassyni platform. Subsequently, advanced AI tools were employed under human supervision to transcribe the audios and edit them for better readability. A human copy-editor was involved during the whole process, and the authors revised the final copy-edited texts before publication.It's important to note that the content in each format - the interviews, the PODCASTS and the book - is self-contained and not a mere adaptation from one medium to another. Instead, it represents an independent exploration of the subject matter. The interviews featured in this book revolve around a highly relevant and engaging topic: Optimal Transport. These conversations involve not only authors from the UNITEXT series, but also members of the series' Editorial Board. Additionally, they feature prominent figures in the field, including a Field Medalist. The primary objective of the interviewers was to stimulate in-depth discussions with the interviewees. These discussions delve into various aspects, such as the genesis of their respective volumes, the rich history of mathematics underpinning their groundbreaking research, their broader perspectives on contemporary mathematical issues, and their visions for future developments in the field.What truly sets this book apart is the exceptional quality of both the interviewers and interviewees. It provides readers with a snapshot of remarkable vitality and freshness, guaranteed to captivate and engage anyone with an interest in mathematics.