Jean-Marie Souriau

Jean-Marie Souriau (3 June 1922 – 15 March 2012)[1] 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 linear algebra [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 diffeologies.

Jean-Marie Souriau
Jean-Marie Souriau.jpg
Souriau in 2010
Born(1922-06-03)3 June 1922
Died15 March 2012(2012-03-15) (aged 89)
Alma materONERA
École Normale Supérieure
Scientific career
InstitutionsUniversity of Provence
Doctoral advisorJoseph Pérès
André Lichnerowicz

He was educated at the École Normale Supérieure in Paris, and spent most of his career as a Professor of Mathematics at the University of Provence in Marseille.


  • [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.

See alsoEdit


  1. ^ "Décès de Jean-Marie Souriau" (in French). Société Mathématique de France. Archived from the original on 5 May 2012. Retrieved 19 March 2012.

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