Poisson Geometry Conference

泊松几何会议

• 批准号: 1711110
• 负责人: Michael Gekhtman
• 金额: $ 2.8万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-04-01 至 2018-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1711110&HistoricalAwards=false
• 关键词: Poisson; Geometry; Conference

This award supports the sixth Poisson Geometry Conference to be held at the University of Notre Dame on May 4-7, 2017. The Poisson Geometry Conference 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 inspired by problems arising in physics, and physicists searching for new mathematical tools. The meetings also serve as a unique forum for junior 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 originated as the mathematical formulation of classical mechanics as the semiclassical limit of quantum mechanics. Its history began with classical work by Poisson, Hamilton, Jacobi, and Lie, developing into a separate field in its own right around 1980 via the work of Lichnerowicz and Weinstein. Today, Poisson geometry influences and is influenced by many adjacent 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 members of various groups working on related areas from different perspectives to exchange new ideas and stimulate collaboration. The goal of each workshop is to address important questions and future directions of the subject. Conference website: http://www3.nd.edu/~conf/pgc2017/

该奖项支持将于2017年5月4日至7日在圣母大学举行的第六届泊松几何会议。泊松几何会议系列由北美对泊松几何及其应用感兴趣的数学家的定期会议组成，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之间的互动，启发了物理学中出现的问题，物理学家寻找新的数学工具。 会议还作为一个独特的论坛，初级数学家来自美国各地，了解尖端的发展泊松几何和传播自己的研究成果在该领域。泊松几何起源于经典力学的数学表述，作为量子力学的半经典极限。它的历史始于泊松、汉密尔顿、雅可比和李的经典著作，1980年左右，通过利希内罗维奇和温斯坦的著作，发展成为一个独立的领域。今天，泊松几何的影响，并受到许多相邻领域的数学，包括辛几何，广义复几何，李代数和李群胚，几何力学，集群代数，可积系统，量化，非交换几何，分层理论，几何奇异辛和泊松结构。“钓鱼”研讨会为从不同角度从事相关领域工作的各个小组的成员提供了一个交流新想法和促进合作的绝佳机会。 每个讲习班的目标是解决该主题的重要问题和未来方向。会议网址：http://www3.nd.edu/~conf/pgc2017/