Cédric Villani

ENS, Lyon, France

Cédric Villani (left) with Gian Michele Graf
Cédric Villani (left) with Gian Michele Graf

Date

24 September 2008

Title

Entropy: The Mathematical Heritage of Ludwig Boltzmann

Abstract

In this lecture I shall discuss how Boltzmann's treatment of entropy and the second law of thermodynamics, although developed for physical reasons, has found applications in various fields of mathematics and is still at the basis of current research, in various subjects such as the mathematical theory of kinetic gases, probability theory, Riemannian geometry or Von Neumann algebras. The talk is intended to be accessible to a generalist scientific audience.

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