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。这一系列会议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受物理学中出现的问题启发的数学家与寻找新的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年轻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，作为量子力学的半经典极限。它的历史始于泊松、汉密尔顿、雅各比和李的经典工作，大约在1980年通过利奇诺维茨和温斯坦的工作发展成为一个独立的领域。今天，泊松几何影响并受到许多相邻的数学领域的影响，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。2024年会议的主题是泊松几何和表示理论之间极其丰富的联系，这可以追溯到索菲斯关于通过正则变换实现连续对称群的原著。这次会议会谈将使美国的泊松几何学家和表象理论家更容易接触到这一领域令人兴奋的最新发展。会议网站是https://sites.northwestern.edu/gonefishing24/.This奖，反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.