Sympletic Geometry and Mathematical Physics: Actes Du Colloque En l'Honneur De Jean-Marie Souriau: 99 (Progress in Mathematics) - Hardcover

Donato, P.; Duval, C.; Elhaded, J.; Tuynman, G.M.

Hardcover

ISBN 10: 0817635815 ISBN 13: 9780817635817

Publisher: Birkhauser Boston Inc, 1991

Synopsis

This volume contains the proceedings of the conference "Colloque de Goometrie Symplectique et Physique Mathematique" which was held in Aix-en-Provence (France), June 11-15, 1990, in honor of Jean-Marie Souriau. The conference was one in the series of international meetings of the Seminaire Sud Rhodanien de Goometrie, an organization of geometers and mathematical physicists at the Universities of Avignon, Lyon, Mar seille, and Montpellier. The scientific interests of Souriau, one of the founders of geometric quantization, range from classical mechanics (symplectic geometry) and quantization problems to general relativity and astrophysics. The themes of this conference cover "only" the first two of these four areas. The subjects treated in this volume could be classified in the follow ing way: symplectic and Poisson geometry (Arms-Wilbour, Bloch-Ratiu, Brylinski-Kostant, Cushman-Sjamaar, Dufour, Lichnerowicz, Medina, Ouzilou), classical mechanics (Benenti, Holm-Marsden, Marle) , particles and fields in physics (Garcia Perez-Mun. Peroz Masque, Gotay, Montgomery, Ne'eman-Sternberg, Sniatycki) and quantization (Blattner, Huebschmann, Karasev, Rawnsley, Roger, Rosso, Weinstein). However, these subjects are so interrelated that a classification by headings such as "pure differential geometry, applications of Lie groups, constrained systems in physics, etc.," would have produced a completely different clustering! The list of authors is not quite identical to the list of speakers at the conference. M. Karasev was invited but unable to attend; C. Itzykson and M. Vergne spoke on work which is represented here only by the title of Itzykson's talk (Surfaces triangulees et integration matricielle) and a summary of Vergne's talk.

About this title

Synopsis

The proceedings of a June 1990 conference in Aix-en-Provence, France, contain 22 papers (of which seven are in French). Many include findings that will no be published elsewhere, in such areas of geometric quantization as Poisson manifolds, simplectic geometry, classical mechanics, and particles and

Edition details

• Publisher: Birkhauser Boston Inc
• Publication date: 1991
• Language: French
• ISBN 10: 0817635815
• ISBN 13: 9780817635817
• Binding: Hardcover
• Number of pages: 478