Conferences and School in Poisson Geometry

泊松几何会议和学校

• 批准号: 1212475
• 负责人: Ping Xu
• 金额: $ 3.3万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-07-01 至 2015-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1212475&HistoricalAwards=false
• 关键词: Conferences; Poisson; Geometry

This grant supports travel for US participants (primarily graduate students and postdocs) to attend the conference Poisson 2012, to be held in Utrecht University, the Netherlands, July 30-Aug. 3, 2012, and the "Gone fishing: Workshop in Poisson geometry II", to be held at University of California, Los Angeles, November 17-18, 2012. There will also be a "school" during the week preceding Poisson 2012 (July 23-27, 2012) to prepare such participants for the conference. The aim of both meetings is to bring together mathematicians and mathematical physicists who work in diverse areas, with common interests in Poisson geometry. With roots in classical mechanics about 200 years ago and the work of Sophus Lie about a century ago, the subject of Poisson geometry was crystallized through work of Kirillov and Lichnerowicz in the 1970's and has been particularly driven by the program of "deformation quantization", in which Poisson structures appear as the first deviation from commutativity in families of associative algebras. On the geometric side, there have been recent advances in the classification of Poisson structures, both up to (local) isomorphism, and up to the coarser relation of Morita equivalence. Poisson geometry provides a very important bridge between mathematics and physics and between classical and quantum physics. Although Poisson geometry has a core of internal results, it is an interdisciplinary subject. Subjects where Poisson geometry plays an essential role include string theory, symplectic geometry and topology, deformation theory, representation theory, algebraic geometry, integrable Hamiltonian systems, and field theory.Poisson 2012, whose full title is "Poisson Geometry in Mathematics and Physics," is the eighth in a biannual series which brings together mathematicians and mathematical physicists with common interests in Poisson geometry and its applications. Speakers at Poisson 2012 have been chosen not only for the importance of their results but also for their ability to communicate them to a broad audience of mathematicians and physicists. The conference will be preceded by a short school designed to prepare the audience for the more specialized talks to come. Conference proceedings will be published in a manner which makes them accessible at low (or no) cost to a wide readership, in order to stimulate further study and research in the rapidly growing area of Poisson geometry. The ``Gone fishing" workshop aims to bring together US based leading experts and young researchers in subjects related to Poisson geometry to encourage more interaction and cross fertilization between different fields. It provides an excellent opportunity for US based young scientists to exchange ideas and promote possible collaborations.Detailed information about Poisson 2012 may be found at http://www.projects.science.uu.nl/poisson2012/Home.phpand the ``Gone fishing workshops" at http://www.math.wustl.edu/~xtang/gone-fishing.htmInformation is also available athttp://poissongeometry.org/

这笔赠款用于支持旅行 美国参与者（主要是研究生和博士后）参加会议泊松2012年，将在乌得勒支大学，荷兰，7月30日至8月3日，2012年，和“钓鱼：研讨会在泊松几何II”，将在加州大学，洛杉矶，11月17日至18日举行， 2012. 在2012年泊松大会前一周（2012年7月23日至27日），也将有一个“学校”，为与会者做好准备。这两次会议的目的是汇集数学家和数学物理学家谁在不同领域的工作，在泊松几何的共同利益。起源于大约200年前的经典力学和大约世纪前Sophus Lie的工作，泊松几何的主题通过Kirillov和Lichnerowicz在20世纪70年代的工作而结晶，并且特别受到“变形量子化”计划的推动，其中泊松结构出现为结合代数家族中第一次偏离交换性。在几何方面，最近在泊松结构的分类方面取得了进展，包括（局部）同构和森田等价的粗糙关系。泊松几何在数学和物理学之间、经典物理和量子物理之间提供了一座非常重要的桥梁。 虽然泊松几何有一个核心的内部结果，它是一个交叉学科。泊松几何起着重要作用的学科包括弦理论、辛几何和拓扑、变形理论、表示论、代数几何、可积哈密顿系统和场论。泊松2012，其全称是“数学和物理中的泊松几何，“是一年两次的系列中的第八个，该系列汇集了对泊松几何及其共同兴趣的数学家和数学物理学家应用. 在泊松2012年的演讲者被选中不仅是因为他们的结果的重要性，而且因为他们有能力将它们传达给广大的数学家和物理学家。会议之前将有一个简短的学校，旨在为观众准备更专业的会谈来。会议记录将出版的方式，使他们在低（或无）成本访问广泛的读者群，以刺激进一步的学习和研究，在迅速增长的领域泊松几何。"钓鱼”研讨会的目的是汇集美国领先的专家和年轻的研究人员在有关泊松几何的主题， 鼓励不同领域之间更多的互动和交叉施肥。 它为美国的年轻科学家提供了交流思想和促进可能合作的绝佳机会。有关Poisson 2012的详细信息可在www.example.com上找到，http://www.projects.science.uu.nl/poisson2012/Home.phpand上http://www.math.wustl.edu/~xtang/gone-fishing.htmInformation Gone fishing workshops”也可在http：//www.example.com上找到poissongeometry.org/