School and conference in Poisson Geometry

摘要奖：DMS-1005829首席研究员：艾伦·D·魏因斯坦这笔赠款支持美国与会者(主要是研究生和博士后)前往巴西参加将于7月26-30日在里约热内卢IMPA举行的“Poisson 2010”会议，在此之前，将举行为期三天的预备学校。大约200年前经典力学中的维斯洛特和大约一个世纪前索菲斯的工作，泊松几何的主题是通过李奇诺维奇和基里洛夫在1970年代的S的工作而结晶的。它的影响现在扩展到广泛的领域，包括辛几何和拓扑学、形变理论、表示理论、代数几何、可积哈密尔顿系统和场论。近年来，泊松几何在弦拓扑学、几何朗兰兹程序和复杂曲面的几何中发现了新的应用。这些和其他适时的子课题的发展将在学校和会议上发表。这次会议的全名是“泊松几何在数学和物理中”，这是两年一度的系列会议的第七次，该系列会议聚集了对泊松几何及其应用有共同兴趣的数学家和数学物理学家。这个几何学在数学和物理、经典物理和量子物理之间架起了一座非常重要的桥梁。学校和会议上的演讲者之所以被选中，不仅是因为他们的成果的重要性，也是因为他们有能力将这些成果传达给广大数学家和物理学家。会议记录将以一种使广大读者以低成本(或免费)获得的方式出版，以促进在快速增长的泊松几何领域的进一步学习和研究。关于这次会议和两年一次的其他系列的详细信息，可以在poissongeometry.org上找到。

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.