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.

摘要奖：DMS-1005829 首席研究员：Alan D. Weinstein 这项赠款支持美国参与者（主要是研究生和博士后）前往巴西参加“Poisson 2010”会议，该会议将于 7 月 26 日至 30 日在里约热内卢 IMPA 举行，之前有为期三天的预科课程。 泊松几何学科植根于大约 200 年前的经典力学和大约一个世纪前 Sophus Lie 的工作，通过 Lichnerowicz 和 Kirillov 在 20 世纪 70 年代的工作而结晶。 其影响现已扩展到各个领域，包括辛几何和拓扑、形变理论、表示论、代数几何、可积哈密顿系统和场论。 近年来，泊松几何在弦拓扑、几何朗兰兹纲领和复杂曲面几何中找到了新的应用。这些和其他及时主题的发展将在学校和会议上讨论。这次会议的全称是“数学和物理中的泊松几何”，是每两年一次的系列会议中的第七次会议，该系列会议汇集了数学家和数学物理学家 对泊松几何及其应用的共同兴趣。 这种几何学在数学和物理学之间以及经典物理学和量子物理学之间提供了一座非常重要的桥梁。 学校和会议上的演讲者的选择不仅是因为他们的研究成果的重要性，还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。 论文集将以低成本（或免费）向广大读者开放的方式出版，以促进泊松几何快速发展领域的进一步学习和研究。 有关该会议以及半年系列会议中其他会议的详细信息，可以在 poissongeometry.org 上找到。