School and conference in Poisson Geometry

点击翻译按钮获取中文摘要

AbstractAward: DMS-1005829Principal Investigator: Alan D. WeinsteinThis grant supports travel to Brazil for US participants(primarily graduate students and postdocs) at the conference"Poisson 2010," to be held in IMPA in Rio de Janeiro, July 26-30,preceded by a preparatory school of three days in length. Withroots in classical mechanics about 200 years ago and work ofSophus Lie about a century ago, the subject of Poisson geometrycrystallized through work of Lichnerowicz and Kirillov in the1970's. Its influence now extends to a wide variety of areas,including symplectic geometry and topology, deformation theory,representation theory, algebraic geometry, integrable hamiltoniansystems, and field theory. In recent years, Poisson geometry hasfound new applications in string topology, the geometricLanglands program, and the geometry of complex surfaces.Developments in these and other timely subjets will be addressedin the school and conference.The meeting, whose full title is "Poisson Geometry in Mathematicsand Physics," is the seventh in a biannual series which bringstogether mathematicians and mathematical physicists with commoninterests in Poisson geometry and its applications. Thisgeometry provides a very important bridge between mathematics andphysics and between classical and quantum physics. Speakers atthe school and conference have been chosen not only for theimportance of their results but also for their ability tocommunicate them to a broad audience of mathematicians andphysicists. Proceedings will be published in a manner whichmakes them accessible at low (or no) cost to a wide readership,in order to stimulate further study and research in the rapidlygrowing area of Poisson geometry. Detailed information about theconference, and about others in the biannual series, may be foundat poissongeometry.org.