A Series of Meetings in Poisson Geometry

泊松几何系列会议

• 批准号: 2002843
• 负责人: Francois Ziegler
• 金额: $ 2.5万
• 依托单位: Georgia Southern University Research and Service Foundation, Inc
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-04-15 至 2023-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2002843&HistoricalAwards=false
• 关键词: Series; Meetings; Poisson; Geometry

This award provides support for the 8th "Gone Fishing" meeting on Poisson Geometry, to be held on the Savannah campus of Georgia Southern University in Spring 2021. "Gone Fishing" is a series of regular meetings in North America where mathematicians interested in Poisson geometry and its applications meet and discuss new ideas and results. These workshops aim to promote interaction between mathematicians, physicists and groups working on related areas from different points of view, and bring together leading experts and young researchers in these subjects to encourage more interaction and cross fertilization between different fields. This has become increasingly important as these various areas continue to progress deeper. The workshops also allow 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 originates in the mathematical formulation of classical mechanics and the semi-classical limit of quantum mechanics. Poisson structures can be traced back to 19th century classics by Poisson, Hamilton, Jacobi and Lie. Poisson Geometry as an independent field started around 1980 with the foundational works of Kirillov, Lichnerowicz and Weinstein. Today the field is developing rapidly, stimulated by the connections with a large number of areas in mathematics and mathematical physics, including differential geometry and Lie theory, quantization, non-commutative geometry, representation theory and quantum groups, geometric mechanics and integrable systems. The "Gone Fishing" workshops provide an excellent opportunity for scientists based in North America to exchange ideas and stimulate collaboration. In addition each workshop has a goal to address important questions and future directions of the subject: the 2020 meeting's theme is "Integrable Systems and Group Actions", with special focus on the recently active topic of Gel'fand-Zeitlin systems. Conference website: https://sites.google.com/georgiasouthern.edu/gonefishing2020This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项为第8届“钓鱼”泊松几何会议提供支持，该会议将于2021年春季在格鲁吉亚南方大学萨凡纳校区举行。“钓鱼”是一系列定期会议在北美有兴趣的数学家在泊松几何及其应用满足和讨论新的想法和结果。这些研讨会旨在促进数学家、物理学家和从不同角度从事相关领域工作的团体之间的互动，并将这些学科的顶尖专家和年轻研究人员聚集在一起，鼓励不同领域之间更多的互动和交流。随着这些不同领域的不断深入，这一点变得越来越重要。研讨会还允许来自美国各地的初级数学家了解泊松几何的前沿发展，并传播他们在该领域的研究成果。泊松几何起源于经典力学的数学公式和量子力学的半经典极限。Poisson结构可以追溯到19世纪世纪Poisson、汉密尔顿、雅可比和李等人的经典著作。泊松几何作为一个独立的领域开始于1980年左右的基础工程的基里洛夫，Lichnerowicz和温斯坦。今天，该领域正在迅速发展，受到数学和数学物理学中大量领域的联系的刺激，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。“钓鱼”讲习班为北美的科学家提供了一个交流思想和促进合作的极好机会。此外，每个研讨会都有一个目标，以解决该主题的重要问题和未来方向：2020年会议的主题是“可集成系统和群体行动”，特别关注最近活跃的话题Gel'fand-Zeitlin系统。 会议网站：https://sites.google.com/georgiasouthern.edu/gonefishing2020This奖反映了NSF的法定使命，并已被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估的支持。