School and conference in Poisson Geometry

泊松几何学校和会议

• 批准号: 1005829
• 负责人: Alan Weinstein
• 金额: $ 1.62万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-06-01 至 2012-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1005829&HistoricalAwards=false
• 关键词: conference; Poisson; Geometry

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.

Abstractaward：DMS-1005829主要研究人员：Alan D. Weinsteinis Thins Grant支持在“ Poisson 2010”会议上向美国参与者（主要是研究生和博士学位）前往巴西的旅行，将于7月26日至30日在Rio de Janeiro在IMPA举行，由三天的准备就绪。 大约200年前的古典力学中的withroots和大约一个世纪前的作品躺在大约一个世纪前，泊松几何晶体的主题是通过Lichnerowicz和Kirillov在1970年代的作品而构成的。 它的影响现在扩展到各种各样的领域，包括象征性的几何学和拓扑，变形理论，表示理论，代数几何形状，可综合的汉密尔顿系统和现场理论。 近年来，Poisson几何形状在弦拓扑，几何倾斜计划和复杂表面的几何形状中具有新的应用。泊松几何及其应用中的共同感兴趣。 该地层在数学和物理之间以及经典物理和量子物理学之间提供了非常重要的桥梁。 在学校和会议上的演讲者不仅是为了成绩的重要性，而且还因为他们的能力使他们向广泛的数学家和物理学家的观众提供了通讯。 会议录将以使他们以低（或无）为本读者访问的方式发布，以刺激泊松几何学快速生长的地区的进一步研究和研究。 有关会议的详细信息以及双年度系列中的其他信息，可以是poissongeometry.org的。