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Poisson 2014年数学和物理学几何大会将于2014年8月4日至8日在伊利诺伊大学在Urbana-Champaign举行。会议将由针对年轻研究人员（研究生和培训的年轻研究人员）（2014年7月28日至2014年8月1日）进行的暑期学校进行。对泊松几何及其应用具有共同利益的物理学家。 2014年Poisson的演讲者不仅是为了其结果的重要性，而且还因为他们将其传达给数学家和物理学家的广泛观众的能力。 演讲者中有强烈的妇女和少数群体的代表。 会议将在一所一周的学校之前，该学校具有强大的培训部分，包括入门课程和高级课程。积极鼓励年轻的研究人员和来自代表性不足的群体的参与。会议程序将以使其在广泛的读者量的低（或否）访问的方式上发表，以刺激对泊松几何发展迅速增长领域的进一步研究和研究。Poisson几何形状在数学物理学和几何学的交汇处。它起源于经典力学作为量子力学的半经典极限的数学公式。泊松结构可以追溯到Poisson，Hamilton，Jacobi和Lie的19世纪经典作品。 Poisson几何形状作为一个独立领域左右左右始于Lichnerowicz和Weinstein的基础作品。该领域迅速发展，与数学和数学物理学的大量领域的联系刺激，包括差异几何和谎言理论，量化，非共同几何形状，代表理论和量子群，几何力学和可集成的系统。过去15年发生了许多重大发展；一些亮点是Kontsevich的形式定理，Poisson Sigma模型的研究以及与Lie代数的“可合转能力问题”的关系，与平坦连接的模态和各种瞬间图理论的关系，奇异的降低，（广义）复杂的几何学，群集的代尔布拉斯等有关POISSON的信息。 athttp：//www.math.illinois.edu/poisson2014/