Poisson 2014: Summer School and Conference on Poisson Geometry in Mathematics and Physics, July 28-August 8, 2014

Poisson 2014：数学和物理泊松几何暑期学校和会议，2014年7月28日至8月8日

• 批准号: 1405965
• 负责人: Rui Loja Fernandes
• 金额: $ 3万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-07-01 至 2015-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1405965&HistoricalAwards=false
• 关键词: Poisson; 2014; Summer; Conference; Geometry

The Poisson 2014 Conference on Poisson Geometry in Mathematics and Physics will be held at the University of Illinois at Urbana-Champaign, August 4-8, 2014. The conference will be proceed by a Summer School aimed at young researchers (graduate students and post-docs), from July 28 to August 1, 2014. The Poisson 2014 is the ninth in a series of biennial meeting, bringing together mathematicians and mathematical physicists with common interests in Poisson geometry and its applications. Speakers at Poisson 2014 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. There is a strong representation of women and minorities among the speakers. The conference will be preceded by a one week school which has a strong training component, including both introductory and advanced level courses. Participation of young researchers and those from underrepresented groups is actively encouraged. 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.Poisson Geometry lies at the intersection of Mathematical Physics and Geometry. It originates in the mathematical formulation of classical mechanics as the semiclassical limit of quantum mechanics. Poisson structures can be traced back to the 19th century classics by Poisson, Hamilton, Jacobi and Lie. Poisson Geometry as an independent field started around 1980 with the foundational works of Lichnerowicz and Weinstein. The field developed rapidly, stimulated by the connections with a large number of areas in mathematics and mathematical physics, including differential geometry and Lie theory, quantization, noncommutative geometry, representation theory and quantum groups, geometric mechanics and integrable systems. A number of major developments took place in the last 15 years; some of the highlights are Kontsevich's formality theorem, the study of Poisson sigma models and the relationship to the "integrability problem" for Lie algebroids, the relation with the moduli space of flat connections and various moment map theories, singular reduction, (generalized) complex geometry, cluster algebras, etc.Detailed information about Poisson 2014 may be found athttp://www.math.illinois.edu/Poisson2014/

在泊松2014年会议上泊松几何数学和物理将在伊利诺伊大学厄巴纳-香槟分校，2014年8月4日至8日举行。会议将于2014年7月28日至8月1日举行针对年轻研究人员（研究生和博士后）的暑期学校。Poisson 2014是两年一次的系列会议中的第九届，汇集了对Poisson几何及其应用有共同兴趣的数学家和数学物理学家。在泊松2014年的演讲者被选中不仅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。 发言者中妇女和少数民族的代表性很强。 会议之前将有一个为期一周的学校，其中有一个强大的培训组成部分，包括入门和高级课程。积极鼓励青年研究人员和代表性不足群体的研究人员参与。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的泊松geometrics.Poisson几何在于交叉的数学物理和几何。它起源于经典力学的数学表述，作为量子力学的半经典极限。Poisson结构可以追溯到19世纪Poisson、汉密尔顿、Jacobi和Lie等人的经典著作。泊松几何作为一个独立的领域开始于1980年左右的基础工程Lichnerowicz和温斯坦。该领域发展迅速，刺激了大量的数学和数学物理领域的联系，包括微分几何和李理论，量子化，非交换几何，表示论和量子群，几何力学和可积系统。在过去15年中出现了一些重大发展;一些亮点是Kontsevich的形式定理，Poisson sigma模型的研究和与李代数体的“可积性问题”的关系，与平坦连接的模空间和各种矩映射理论的关系，奇异约化，（广义）复杂几何，集群代数等。有关泊松2014的详细信息可以在http：//www.example.com上找到www.math.illinois.edu/Poisson2014/