Collaborative Research: Gone Fishing: a Series of Meetings in Poisson Geometry
Collaborative Research: Gone Fishing: a Series of Meetings in Poisson Geometry
批准号:
1543812
负责人:
Markus Pflaum
金额:
$3.0万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2015
资助国家:
美国
项目状态:
已结题
起止时间:
2015-09-15 至 2018-08-31
中文摘要
该奖项支持将于2016年3月31日至4月3日在科罗拉多大学博尔德分校举行的第五届关于泊松几何的《消失的钓鱼》会议。“消失的钓鱼”系列研讨会由对泊松几何及其应用感兴趣的数学家在北美举行的定期会议组成,吸引了领先的专家和年轻的研究人员。该系列的目的是促进数学家、物理学家和具有不同观点的相关领域工作小组之间的互动。随着这些不同领域的不断深入,鼓励它们之间更多的互动和交叉受精变得越来越迫切。最后但并非最不重要的是,“消失的钓鱼”会议为美国各地的初级数学家提供了一个独特的论坛,让他们了解泊松几何的前沿发展,并传播他们自己在该领域的研究成果。泊松几何起源于经典力学的数学表述,是量子力学的半经典极限。它的历史始于19世纪泊松、汉密尔顿、雅各比和李的经典作品,大约在1980年通过利奇诺维茨和温斯坦的作品发展成为一个独立的领域。今天,泊松几何交叉并应用于数学的许多领域,包括辛几何、广义复几何、李代数体和李群胚、几何力学、簇代数、可积系统、量子化、非交换几何、分层理论以及奇辛和泊松结构的几何。“消失的捕鱼”研讨会为北美的科学家提供了一个交流思想和促进合作的绝佳机会。每个研讨会都有一个目标,以解决这一主题的重要问题和未来方向。网址:http://math.colorado.edu/gonefishing2016/
英文摘要
This award supports the fifth "Gone Fishing" meeting on Poisson Geometry to be held at the University of Colorado at Boulder from March 31 to April 3, 2016. The "Gone Fishing" workshop series consists of regular meetings in North America of mathematicians interested in Poisson Geometry and its applications, attracting leading experts and young researchers alike. The aim of the series is to promote interaction between mathematicians, physicists, and groups working on related areas having different perspectives. As these various fields continue to progress further, it is becoming increasingly urgent to encourage more interaction and cross fertilization between them. Last but not least the "Gone Fishing" meetings provide a unique forum forjunior mathematicians from all over the United States to learn about cutting edge developments in Poisson Geometry and to disseminate their own research results in the field. Poisson Geometry originates as the mathematical formulation of classical mechanics as the semiclassical limit of quantum mechanics. Its history begins with 19th century classics by Poisson, Hamilton, Jacobi, and Lie, developing into a separate field in its own right around 1980 via the works of Lichnerowicz and Weinstein. Today, Poisson Geometry intersects and is applied to many areas of mathematics, including symplectic geometry, generalized complex geometry, Lie algebroids and Lie groupoids, geometric mechanics, cluster algebras, integrable systems, quantization, non-commutative geometry, stratification theory, and the geometry of singular symplectic and Poisson structures. The "Gone Fishing" workshops provide an excellent opportunity for scientists based in North America to exchange ideas and stimulate collaboration. Each workshop has a goal to address important questions and future directions of the subject. URL: http://math.colorado.edu/gonefishing2016/
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