Conferences and School in Poisson Geometry

这笔资金用于资助美国参与者（主要是研究生和博士后）参加将于7月30日至8月在荷兰乌得勒支大学举行的泊松2012会议。2012年11月17日至18日在加州大学洛杉矶分校举行的“去钓鱼：泊松几何研讨会II”。在2012年泊松会议（2012年7月23日至27日）的前一周，还将有一所“学校”为会议的参与者做准备。这两次会议的目的是将在不同领域工作的数学家和数学物理学家聚集在一起，他们对泊松几何有共同的兴趣。泊松几何起源于约200年前的经典力学和约一个世纪前的Sophus Lie的工作，通过Kirillov和Lichnerowicz在20世纪70年代的工作而结晶，并特别受到“变形量子化”计划的推动，其中泊松结构在结合代数族中出现了对交换性的第一个偏差。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。泊松几何在数学与物理、经典物理与量子物理之间架起了一座非常重要的桥梁。虽然泊松几何有一个内部结果的核心，但它是一个跨学科的学科。泊松几何发挥重要作用的学科包括弦理论、辛几何和拓扑、变形理论、表示理论、代数几何、可积哈密顿系统和场论。《泊松2012》的全称是“数学和物理中的泊松几何”，是两年一次的系列文章中的第八期，该系列文章汇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。2012年泊松年会的演讲者之所以被选中，不仅是因为他们的成果很重要，还因为他们有能力将这些成果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培训，目的是让听众为即将到来的更专业的演讲做好准备。会议论文集将以一种使广大读者以低成本（或免费）获得的方式出版，以促进在迅速发展的泊松几何领域的进一步学习和研究。“去钓鱼”研讨会旨在汇集美国泊松几何相关学科的顶尖专家和年轻研究人员，以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一个交流思想和促进可能的合作的绝佳机会。关于泊松2012的详细信息可以在http://www.projects.science.uu.nl/poisson2012/Home.phpand上找到，“去钓鱼工作坊”在http://www.math.wustl.edu/~xtang/gone-fishing.htmInformation上也可以在http://poissongeometry.org/找到

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/