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

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:
$3.0万
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
项目状态:
已结题
起止时间:
2014-07-01 至 2015-06-30

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中文摘要
翻译
泊松2014年数学和物理泊松几何会议将于2014年8月4日至8日在伊利诺伊大学香槟分校举行。会议将由面向年轻研究人员(研究生和博士后)的暑期学校进行,时间为2014年7月28日至8月1日。泊松2014是一系列两年一度的会议中的第九次,聚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。Poisson 2014大会上的演讲者之所以被选中,不仅是因为他们的结果很重要,还因为他们有能力将这些结果传达给广大数学家和物理学家。发言者中有很强的妇女和少数群体代表。在会议之前,将有一个为期一周的学校,该学校有强大的培训部分,包括入门课程和高级课程。积极鼓励年轻研究人员和代表性不足群体的参与。会议记录将以一种低成本(或免费)的方式发布给广大读者,以促进对迅速增长的泊松几何领域的进一步学习和研究。泊松几何位于数学物理和几何的交叉点。它起源于经典力学的数学表述,是量子力学的半经典极限。泊松结构可以追溯到19世纪泊松、汉密尔顿、雅各比和李的经典著作。泊松几何作为一个独立的领域,始于1980年左右,开始于李奇诺维茨和温斯坦的基础工作。这一领域的迅速发展得益于与数学和数学物理中的许多领域的联系,包括微分几何和李理论、量子化、非对易几何、表示论和量子群、几何力学和可积系统。在过去的15年里发生了许多重大的发展;其中一些亮点是康采维奇的形式定理,泊松西格玛模型的研究以及与李代数体的“可积性问题”的关系,与平坦连通的模空间和各种矩映射理论的关系,奇异归约,(广义)复几何,簇代数等。有关泊松2014的详细信息可以在http://www.math.illinois.edu/Poisson2014/上找到
英文摘要
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/
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会议论文
Symplectic groupoids and quantization of Poisson manifolds
Summer School and Conference: Poisson 2022
Geometric Structures on Lie Groupoids and their Applications
Poisson Manifolds of Compact Types and Geometric Structures on Stacks
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