Objective Three major and interrelated subjects are in the background of the meetings: Poisson brackets were introduced to study the 3-body problem in celestial mechanics. Their study gained renewed interest in the second half of the twentieth century and Poisson geometry is now an active field of research, stimulated by its connections with harmonic analysis on Lie groups, quantum physics (in particular deformation quantisation), holonomy and integrated systems.The passage from one level of physical theory to another can often be achieved using the mathematical notion of deformation, in a properly chosen category. Application of this idea to the passage from classical to quantum mechanics lead Flato, Lichnerowicz and Sternheimer in 1976 to create a new domain called Deformation Quantisation.Symmetries have played a major role in the developments of mathematics and physics in the 20th century and lead to the very wide subject of group representations. Spectacular recent developments have occurred in the last years in those three areas and their interplay. For instance, let us mention the proofs of existence and classification for deformation quantisation on general Poisson manifolds, based on the formality theorem, given by Kontsevich in 1997 using graphs and by Tamarkin and him using operands in 1999, which gave rise to a wide array of new results and the extension to algebraic varieties; new geometric constructions of representations of non-compact reductive Lie groups with new character formulas by Kashiwara, Schmid and Vilonen; the development of groupoids and algebroids by Moerdijk, Weinstein and others as a formalism to express very general theories. Fields of science natural sciencesphysical sciencesquantum physicsnatural sciencesphysical sciencesastronomyplanetary sciencescelestial mechanicsnatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Programme(s) FP5-HUMAN POTENTIAL - Programme for research, technological development and demonstration on "Improving the human research potential and the socio-economic knowledge base" (1998-2002) Topic(s) 1.4.1.-3.1. - High-level Scientific Conferences Call for proposal Data not available Funding Scheme SC - High Level Scientific Conference Coordinator Universite Libre de Bruxelles EU contribution No data Address Avenue franklin roosevelt 50 Bruxelles Belgium See on map Links Website Opens in new window Total cost No data