Conference: A Meeting on Poisson Geometry

会议：泊松几何会议

• 批准号: 2410632
• 负责人: Gus Schrader
• 金额: $ 3.3万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-05-01 至 2025-04-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2410632&HistoricalAwards=false
• 关键词: Conference; Meeting; Poisson; Geometry

This award provides support for a conference on Poisson geometry and representation theory to be held at Northwestern University on April 11-14, 2024. This 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 theme of the 2024 conference is the immensely rich connection between Poisson geometry and representation theory, which dates back to the original works of Sophus Lie on the realization of continuous symmetry groups by canonical transformations. The conference talks will make exciting recent developments in this area more accessible to Poisson geometers and representation theorists in the United States. The conference website is https://sites.northwestern.edu/gonefishing24/.This 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.

该奖项为将于2024年4月11日至14日在西北大学举行的泊松几何和表示论会议提供支持。该会议系列由对泊松几何及其应用感兴趣的数学家在北美定期举行，吸引了顶尖专家和年轻的研究人员一样。该系列的目的是促进受物理学中出现的问题启发的数学家与寻找新数学工具的物理学家之间的互动。这些会议还为来自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。泊松几何起源于作为半经典力学的经典力学的数学表述。量子力学的极限。它的历史始于泊松、汉密尔顿、雅可比和李的经典著作，并于 1980 年左右通过利希纳罗维奇和韦恩斯坦的著作发展成为一个独立的领域。今天，泊松几何影响着数学的许多相邻领域，并受到许多相邻领域的影响，包括辛几何、广义复几何、李代数体和李群群、几何力学、簇代数、可积系统、量子化、非交换几何、分层理论和奇异辛和泊松结构的几何。 2024 年会议的主题是泊松几何与表示论之间极其丰富的联系，这种联系可以追溯到 Sophus Lie 关于通过规范变换实现连续对称群的原始著作。会议演讲将使美国的泊松几何学家和表示理论家更容易了解该领域令人兴奋的最新进展。会议网站是 https://sites.northwestern.edu/gonefishing24/。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。