|Born||3 June 1922|
|Died||15 March 2012(aged 89)|
|Institutions||University of Provence|
École Normale Supérieure
|Doctoral advisor||Joseph Pérès
|Doctoral students||Paul Donato
Jean-Marie Souriau (3 June 1922 – 15 March 2012) was a French mathematician, known for works in symplectic geometry, in which he was one of the pioneers. He published several works, a treatise on calculus [Sou64a], a treatise on relativity [Sou64b] and a treatise on symplectic mechanics [Sou70]. He developed the symplectic aspects of classical and quantum mechanics. He contributed to the introduction or the development of many important concepts, such as the coadjoint action and the coadjoint orbits of a group on its moment space, which led in particular to the first geometric interpretation of spin at a classical level. He introduced the moment map, he suggested a program of geometric quantization, he gave a classification of the homogeneous symplectic manifolds, known as the Kirillov-Kostant-Souriau theorem. Finally, he proposed a new approach to differential geometry by means of diffeological spaces.
- [Sou64a] J.-M. Souriau, Calcul linéaire, P.U.F., Paris, 1964.
- [Sou64b] J.-M. Souriau, Géométrie et relativité, Hermann, 1964.
- [Sou70] J.-M. Souriau, Structure des systèmes dynamiques, Dunod, Paris, 1970.
- [Sou97] J.-M. Souriau, Structure of Dynamical Systems, Birkhäuser, Boston, 1997.
- "Décès de Jean-Marie Souriau" (in French). Société Mathématique de France. Retrieved 19 March 2012.