Jean-Marie Souriau

<h2 id="education-and-career">Education and career</h2>
Souriau started studying mathematics in 1942 at <a href="/facts/%C3%89cole_Normale_Sup%C3%A9rieure/KQtorjQB">École Normale Supérieure</a> in Paris. In 1946 he was a research fellow of <a href="/facts/French_National_Centre_for_Scientific_Research/z8RBcY1j">CNRS</a> and an engineer at <a href="/facts/ONERA/4zwE9F3H">ONERA</a>. His PhD thesis, defended in 1952 under the supervision of <a href="/facts/Joseph_P%C3%A9r%C3%A8s/SXTNJ807">Joseph Pérès</a> and <a href="/facts/Andr%C3%A9_Lichnerowicz/4AlCVKAP">André Lichnerowicz</a>, was entitled "Sur la stabilité des avions" (On the stability of planes).<a class="footnote-ref" id="fnref:4" href="#fn:4">4</a>
Between 1952 and 1958 he worked at Institut des Hautes Études in <a href="/facts/Tunis/nmKNnW85">Tunis</a>, and since 1958 he was Professor of Mathematics at the <a href="/facts/University_of_Provence/PXRsQDEs">University of Provence</a> in <a href="/facts/Marseille/kj7te1HG">Marseille</a>.<a class="footnote-ref" id="fnref:5" href="#fn:5">5</a> In 1981 he was awarded the <a href="/facts/Prix_Jaff%C3%A9/nAmtuSMd">Prix Jaffé</a> of the <a href="/facts/French_Academy_of_Sciences/zF42DYQv">French Academy of Sciences</a>.<a class="footnote-ref" id="fnref:6" href="#fn:6">6</a>

<h2 id="research">Research</h2>
Souriau contributed to the introduction and the development of many important concepts in <a href="/facts/Symplectic_geometry/runXFCea">symplectic geometry</a>, arising from <a href="/facts/Classical_mechanics/ykG8upsN">classical</a> and <a href="/facts/Quantum_mechanics/BRc3Mzgr">quantum mechanics</a>.<a class="footnote-ref" id="fnref:7" href="#fn:7">7</a>
In particular, he introduced the notion of <a href="/facts/Moment_map/Rujfsdud">moment map</a>,<a class="footnote-ref" id="fnref:8" href="#fn:8">8</a><a class="footnote-ref" id="fnref:9" href="#fn:9">9</a> gave a classification of the <a href="/facts/Homogeneous_space/YGebqcJA">homogeneous</a> <a href="/facts/Symplectic_manifold/JvNrJkC7">symplectic manifolds</a> (now known as the <a href="/facts/Alexandre_Kirillov/0v7MQ7Im">Kirillov</a>–<a href="/facts/Bertram_Kostant/TpckB9MH">Kostant</a>–Souriau theorem), and investigated the <a href="/facts/Coadjoint_action/IL4KpXHS">coadjoint action</a> of a <a href="/facts/Lie_group/a9jCQyjF">Lie group</a>, which led to the first geometric interpretation of <a href="/facts/Spin_(physics)/4Jvp7e8P">spin</a> at a classical level.<a class="footnote-ref" id="fnref:10" href="#fn:10">10</a> He also suggested a program of <a href="/facts/Geometric_quantization/NGcSz0CM">geometric quantization</a><a class="footnote-ref" id="fnref:11" href="#fn:11">11</a> and developed a more general approach to <a href="/facts/Differentiable_manifold/aSnbXKcV">differentiable manifolds</a> by means of <a href="/facts/Diffeology/mDF07aNH">diffeologies</a>.<a class="footnote-ref" id="fnref:12" href="#fn:12">12</a><a class="footnote-ref" id="fnref:13" href="#fn:13">13</a>
Souriau published more than 50 papers in peer-review scientific journals,<a class="footnote-ref" id="fnref:14" href="#fn:14">14</a> as well as three monographs, on <a href="/facts/Linear_algebra/8VaB4VWk">linear algebra</a>,<a class="footnote-ref" id="fnref:15" href="#fn:15">15</a> on <a href="/facts/Theory_of_relativity/qGHj3eTC">relativity</a><a class="footnote-ref" id="fnref:16" href="#fn:16">16</a> and on <a href="/facts/Geometric_mechanics/b39elUdr">geometric mechanics</a>.<a class="footnote-ref" id="fnref:17" href="#fn:17">17</a><a class="footnote-ref" id="fnref:18" href="#fn:18">18</a><a class="footnote-ref" id="fnref:19" href="#fn:19">19</a> He supervised 9 PhD students.<a class="footnote-ref" id="fnref:20" href="#fn:20">20</a>

<h2 id="external-links">External links</h2>
<ul><li><a href="http://www.jmsouriau.com">Jean-Marie Souriau official website</a> (the website hosts copies of many of Souriau's works)</li>
<li><a href="/facts/Ray_Streater/GLTqaQ8w">Ray F. Streater</a>: <a href="https://web.archive.org/web/20040220225433/http://www.mth.kcl.ac.uk/~streater/souriau.html">Souriau</a></li>
<li>Patrick Iglesias-Zemmour: <a href="https://web.archive.org/web/20040328193336/http://www.umpa.ens-lyon.fr/JME/Vol1Num3/SouriauJME3/SouriauJME3.html">Souriau</a> (in French)</li>
<li>In Memoriam Conference 2012: <a href="https://archive.today/20130213140146/http://www.univ-provence.fr/souriau90">Web site</a></li>
<li>"Structure des Systèmes Dynamiques" <a href="http://souriau2019.fr">Anniversary Conference 2019</a></li>
<li><a href="https://www.youtube.com/watch?v=Lb_TWYqBUS4">Interview of Jean-Marie Souriau by Laurence Honnorat</a> on <a href="/facts/YouTube/db276jst">YouTube</a> (in French)</li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1">"Décès de Jean-Marie Souriau" (in French). Société Mathématique de France. Archived from the original on 5 May 2012. Retrieved 19 March 2012. <a href="https://web.archive.org/web/20120505062547/http://smf.emath.fr/content/deces-de-jean-marie-souriau" target="_blank">https://web.archive.org/web/20120505062547/http://smf.emath.fr/content/deces-de-jean-marie-souriau</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></li>
<li id="fn:2">"Décès Jean-Marie Souriau | Société Mathématique de France". smf.emath.fr. Retrieved 2022-02-05. <a href="https://smf.emath.fr/node/123126" target="_blank">https://smf.emath.fr/node/123126</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></li>
<li id="fn:3">Marle, Charles-Michel; de Saxcé, Géry; Vallée, Claude (2012). "Hommage à Jean-Marie Souriau" (PDF). Gazette des Mathématiciens (in French). 133. Société Mathématique de France. <a href="https://marle.perso.math.cnrs.fr/publications/HommageSouriaucorrige9.pdf" target="_blank">https://marle.perso.math.cnrs.fr/publications/HommageSouriaucorrige9.pdf</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></li>
<li id="fn:4">"Jean-Marie Souriau - The Mathematics Genealogy Project". www.genealogy.math.ndsu.nodak.edu. Retrieved 2022-01-17. <a href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=112757" target="_blank">https://www.genealogy.math.ndsu.nodak.edu/id.php?id=112757</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></li>
<li id="fn:5">Marle, Charles-Michel; de Saxcé, Géry; Vallée, Claude (2012). "Hommage à Jean-Marie Souriau" (PDF). Gazette des Mathématiciens (in French). 133. Société Mathématique de France. <a href="https://marle.perso.math.cnrs.fr/publications/HommageSouriaucorrige9.pdf" target="_blank">https://marle.perso.math.cnrs.fr/publications/HommageSouriaucorrige9.pdf</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></li>
<li id="fn:6">"Prix Jaffé" (PDF). academie-sciences.fr (in French). Académie des Sciences. Retrieved 21 January 2022. <a href="https://www.academie-sciences.fr/archivage_site/activite/prix/laureat_jaffe.pdf" target="_blank">https://www.academie-sciences.fr/archivage_site/activite/prix/laureat_jaffe.pdf</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></li>
<li id="fn:7">Bacry, Henri; Ruegg, Henri; Souriau, Jean-Marie (1966-10-01). "Dynamical groups and spherical potentials in Classical Mechanics". Communications in Mathematical Physics. 3 (5): 323–333. Bibcode:1966CMaPh...3..323B. doi:10.1007/BF01645086. ISSN 1432-0916. S2CID 56363683. <a href="https://doi.org/10.1007/BF01645086" target="_blank">https://doi.org/10.1007/BF01645086</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></li>
<li id="fn:8">Souriau, J.-M. (1970). Structure des systèmes dynamiques: maîtrises de mathématiques (in French). Paris: Dunod. ISBN 2-04-010752-5. OCLC 1041884. <a href="2-04-010752-5" target="_blank">2-04-010752-5</a> <a href="#fnref:8" class="footnote-back-ref">↩</a></li>
<li id="fn:9">Souriau, Jean-Marie (2008). Structure des systèmes dynamiques : Maîtrises de mathématiques (in French). Paris: J. Gabay. ISBN 978-2-87647-321-8. OCLC 494510763. <a href="978-2-87647-321-8" target="_blank">978-2-87647-321-8</a> <a href="#fnref:9" class="footnote-back-ref">↩</a></li>
<li id="fn:10">Souriau, Jean-Marie (1974). "Modèle de particule à spin dans le champ électromagnétique et gravitationnel". Annales de l'Institut Henri Poincaré A (in French). 20 (4): 315–364 – via NUMDAM [fr]. <a href="http://www.numdam.org/item/?id=AIHPA_1974__20_4_315_0" target="_blank">http://www.numdam.org/item/?id=AIHPA_1974__20_4_315_0</a> <a href="#fnref:10" class="footnote-back-ref">↩</a></li>
<li id="fn:11">Souriau, J.-M. (1966). "Quantification géométrique". Communications in Mathematical Physics. 1 (5): 374–398. ISSN 0010-3616 – via Project Euclid. <a href="https://projecteuclid.org/journals/communications-in-mathematical-physics/volume-1/issue-5/Quantification-g%c3%a9om%c3%a9trique/cmp/1103758996.full" target="_blank">https://projecteuclid.org/journals/communications-in-mathematical-physics/volume-1/issue-5/Quantification-g%c3%a9om%c3%a9trique/cmp/1103758996.full</a> <a href="#fnref:11" class="footnote-back-ref">↩</a></li>
<li id="fn:12">Souriau, J. M. (1980), García, P. L.; Pérez-Rendón, A.; Souriau, J. M. (eds.), "Groupes differentiels", Differential Geometrical Methods in Mathematical Physics, Lecture Notes in Mathematics, vol. 836, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 91–128, doi:10.1007/bfb0089728, ISBN 978-3-540-10275-5, retrieved 2022-01-17 <a href="978-3-540-10275-5" target="_blank">978-3-540-10275-5</a> <a href="#fnref:12" class="footnote-back-ref">↩</a></li>
<li id="fn:13">Souriau, Jean-Marie (1984), Denardo, G.; Ghirardi, G.; Weber, T. (eds.), "Groupes différentiels et physique mathématique", Group Theoretical Methods in Physics, Lecture Notes in Physics, vol. 201, Berlin/Heidelberg: Springer-Verlag, pp. 511–513, doi:10.1007/bfb0016198, ISBN 978-3-540-13335-3, retrieved 2022-01-17 <a href="978-3-540-13335-3" target="_blank">978-3-540-13335-3</a> <a href="#fnref:13" class="footnote-back-ref">↩</a></li>
<li id="fn:14">"zbMATH Open - the first resource for mathematics". zbmath.org. Retrieved 2022-01-17. <a href="https://zbmath.org/authors/?q=ai:souriau.jean-marie" target="_blank">https://zbmath.org/authors/?q=ai:souriau.jean-marie</a> <a href="#fnref:14" class="footnote-back-ref">↩</a></li>
<li id="fn:15">Souriau, J.-M. (1964). Calcul linéaire : contient la solution détaillée des exercices (in French). Sceaux: Ed. J. Gabay. ISBN 2-87647-097-7. OCLC 27757494. <a href="2-87647-097-7" target="_blank">2-87647-097-7</a> <a href="#fnref:15" class="footnote-back-ref">↩</a></li>
<li id="fn:16">Souriau, Jean-Marie (1964). Géométrie et relativité (in French). Paris: J. Gabay. ISBN 978-2-87647-318-8. OCLC 494510220. <a href="978-2-87647-318-8" target="_blank">978-2-87647-318-8</a> <a href="#fnref:16" class="footnote-back-ref">↩</a></li>
<li id="fn:17">Souriau, J.-M. (1970). Structure des systèmes dynamiques: maîtrises de mathématiques (in French). Paris: Dunod. ISBN 2-04-010752-5. OCLC 1041884. <a href="2-04-010752-5" target="_blank">2-04-010752-5</a> <a href="#fnref:17" class="footnote-back-ref">↩</a></li>
<li id="fn:18">Souriau, Jean-Marie (2008). Structure des systèmes dynamiques : Maîtrises de mathématiques (in French). Paris: J. Gabay. ISBN 978-2-87647-321-8. OCLC 494510763. <a href="978-2-87647-321-8" target="_blank">978-2-87647-321-8</a> <a href="#fnref:18" class="footnote-back-ref">↩</a></li>
<li id="fn:19">Souriau, Jean-Marie (1997). Structure of Dynamical Systems. Springer Verlag. <a href="https://link.springer.com/book/9780817636951" target="_blank">https://link.springer.com/book/9780817636951</a> <a href="#fnref:19" class="footnote-back-ref">↩</a></li>
<li id="fn:20">"Jean-Marie Souriau - The Mathematics Genealogy Project". www.genealogy.math.ndsu.nodak.edu. Retrieved 2022-01-17. <a href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=112757" target="_blank">https://www.genealogy.math.ndsu.nodak.edu/id.php?id=112757</a> <a href="#fnref:20" class="footnote-back-ref">↩</a></li>
</ol>

Jean-Marie Souriau open-in-new

Jean-Marie Souriau