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/

2014 年泊松数学和物理泊松几何会议将于 2014 年 8 月 4 日至 8 日在伊利诺伊大学厄巴纳-香槟分校举行。会议将通过针对年轻研究人员（研究生和博士后）的暑期学校进行。文档），从 2014 年 7 月 28 日到 8 月 1 日。Poisson 2014 是一系列两年一次的会议中的第九次，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。 2014 年 Poisson 会议的演讲者被选中不仅是因为他们的研究结果的重要性，还因为他们能够将这些结果传达给广大数学家和物理学家。 演讲者中女性和少数族裔的比例很高。 会议之前将举办为期一周的学校，该学校提供强大的培训内容，包括入门课程和高级课程。积极鼓励年轻研究人员和代表性不足群体的研究人员参与。会议论文集将以低成本（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。泊松几何位于数学物理学的交叉点和几何。它起源于经典力学作为量子力学半经典极限的数学表述。泊松结构可以追溯到19世纪泊松、汉密尔顿、雅可比和李的经典著作。泊松几何作为一个独立领域始于 1980 年左右，以 Lichnerowicz 和 Weinstein 的基础工作为基础。由于与数学和数学物理的许多领域的联系，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，该领域发展迅速。过去 15 年发生了许多重大发展；其中一些亮点是 Kontsevich 的形式定理、泊松西格玛模型的研究以及与李代数体“可积性问题”的关系、与平面连接的模空间和各种矩图理论、奇异约简、（广义）复数的关系几何、簇代数等。详细信息可参见Poisson 2014在http://www.math.illinois.edu/Poisson2014/