Conference: A Meeting on Poisson Geometry

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理论会议提供支持。这个会议系列包括定期会议在北美的数学家感兴趣的泊松几何及其应用，吸引了领先的专家和年轻的研究人员一样。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。会议也作为一个独特的论坛，为初级数学家来自美国各地，以了解尖端的发展，泊松几何和传播自己的研究成果在外地。泊松几何起源于经典力学的数学公式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。2024年会议的主题是泊松几何和表示理论之间的丰富联系，可以追溯到Sophus Lie关于通过正则变换实现连续对称群的原始作品。会议会谈将使令人兴奋的最近事态发展在这一领域更容易获得泊松几何学家和代表性理论家在美国。会议网站是https://sites.northwestern.edu/gonefishing24/.This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。

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.