long long time ago
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me trying to explain normal forms of vector fields on Poisson manifolds Conference in honour of Richard Cushman, “Dynamics and Hamiltonian Systems”, Utrecht 2630/March/2007 Unfortunately I’ll have to go back to Toulouse on 28/March and miss a large part of the conference. Dinner with Rui Fernandes, Boris Kruglikov, Eva Miranda and Philippe Monnier (on the occasion of the visits of Boris and Rui in Toulouse) Another photo, taken by Boris: I’m currently struggling with the following problem: Given a generic quadratic function Q on g* (where g is a simple Lie algebra) which Poisson-commute with a Cartan subalgebra t of g, show that the Hamiltonian system of Q does not admit any other first integral exept the obvious ones (the ones which can be . . . → Read More: non-integrability of hamiltonian systems on g* Je viens d’apprendre qu’il y a 2 douches dans le batiment 1R3 de notre Institut. Donc on peut faire du jogging, du tennis, etc. et prendre une douche après, à l’Institut. I’m collecting in this page references directly related to the Gelfand-Cetlin system. The list is ordered chronologically. * Gelfand & Cetlin ? (around 1950) * Thimm: Integrable geodesic flows on homology spheres, Ergodic Th. Dyn. Syst. 1 (1981), 595–517. (the first paper in which the integrable GC system appears ?) * Guillemin & Sternberg: . . . → Read More: References around Gelfand-Cetlin A student of mine, Michael Ayoul, is currently writing up the non-Hamiltonian version of Morales-Ramis(-Simo) theorem, which says that the differential Galois group of the variational equation (of any order) of a meromorphic integrable system along a solution must be Abelian. He will then try to apply this result to various non-Hamiltonian (non-holonomous) systems . . . → Read More: Non-Hamiltonian version of Morales-Ramis theorem 1) Besoin de bureaux A l’heure actuelle (03/2007), l’Equipe Emile Picard a à sa disposition: * 1 salle sécrétariat (Jocelyne Picard + 1/2 sécrétaire) * 1 salle pour les informaticiens (Borel, Bonnafous) * 1 salle informatique “libre service” * 1 petite salle de café (la taille d’un bureau normal) * salles de séminaires (qui . . . → Read More: Problèmes de locaux de l’équipe Emile Picard 20 years ago … Near Moscow, 1987 (repost to kill spam) |
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