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A photo of the mathematician Professor Giuseppe Savaré

We were delighted to host Professor Giuseppe Savaré on 6 May, an Italian mathematician internationally recognised for his contributions to mathematical analysis, variational methods, and optimal transport theory, as this year's speaker in the Distinguished Lecture Series.

An eminent and influential mathematical scholar

Professor Savaré’s research has had a major impact on the theory of gradient flows, nonlinear evolution equations, metric-measure spaces, and optimal transport. Together with Luigi Ambrosio and Nicola Gigli, he co-authored the influential monograph Gradient Flows in Metric Spaces and in the Space of Probability Measures, helping to shape modern research in the field.

Professor Savaré graduated cum laude in Mathematics from the University of Pavia in 1988. After serving as a researcher at the Italian National Research Council (CNR), he became Associate Professor and later Full Professor of Mathematical Analysis at the University of Pavia. Since 2020 he has been Full Professor in the Department of Decision Sciences at Bocconi University, Milan, Italy.

Among his distinctions are the Ennio De Giorgi Prize (2011), an invited lecture at the 7th European Congress of Mathematics, a Hans Fischer Senior Fellowship at the Technical University of Munich, and, more recently, an ERC Advanced Grant for his project OPTiMiSE on optimal transport and evolution problems.

Diffusion, Optimal Transport and Ricci Curvature

In his lecture, Professor Savaré described the interplay between diffusion, optimal transport and Ricci curvature. This has been an active theme at the interface of analysis, geometry and probability over the last two decades, bringing together analytic and geometric viewpoints on curvature bounds. Professor Savaré presented the main ideas behind this circle of results and introduced recent developments in the field.

The Department would like to thank Professor Savaré for his lecture and all staff and students who attended and contributed to the discussion.

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