Jean-Marie Souriau

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Jean-Marie Souriau
Born (1922-06-03)3 June 1922
Died 15 March 2012(2012-03-15) (aged 89)
Nationality French
Fields Mathematics
Institutions University of Provence
Alma mater ONERA
École Normale Supérieure
Doctoral advisor Joseph Pérès
André Lichnerowicz
Doctoral students Paul Donato
Christian Duval
Jimmy Elhadad
Henry-Hugues Fliche
Péter Horváthy
Patrick Iglesias‑Zemmour
Roland Triay
François Ziegler

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 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.

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 also[edit]


  1. ^ "Décès de Jean-Marie Souriau" (in French). Société Mathématique de France. Retrieved 19 March 2012. 

External links[edit]