# 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 | |
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Souriau in 2010 | |

Born | 3 June 1922 |

Died | 15 March 2012 | (aged 89)

Nationality | French |

Alma mater | ONERA École Normale Supérieure |

Scientific career | |

Fields | Mathematics |

Institutions | University of Provence |

Doctoral advisor | Joseph 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.

## BibliographyEdit

- [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

## ReferencesEdit

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

## External linksEdit

- Jean-Marie Souriau official website (the website hosts copies of many of Souriau's works)
- Review by Mark Roberts of Sou97
- Ray F. Streater: Souriau
- Patrick Iglesias-Zemmour: Souriau
- Photo: photo
- In Memoriam Conference 2012: Web site
- "Structure des Systèmes Dynamiques" Anniversary Conference 2019