Conference: The Many Interactions between Symplectic and Poisson Geometry

会议：辛几何和泊松几何之间的许多相互作用

• 批准号: 2304750
• 负责人: Xiang Tang
• 金额: $ 3万
• 依托单位: Washington University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-05-01 至 2025-04-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2304750&HistoricalAwards=false
• 关键词: Conference; Many; Interactions; between; Symplectic

This NSF award will provide partial support for US-based participants to attend the conference, The Many Interactions of Symplectic and Poisson Geometry, to take place June 19-23, 2023, at the Institut Henri Poincar\’e in Paris, France. Symplectic and Poisson geometry are sibling branches of geometry, both rooted deeply in mathematical formulation of mechanics and mathematical physics. This international conference will bring together leading experts of the two areas, as well as nearby domains, to present the recent significant advances in each area, to discuss the open problems and challenges in each field, and to create a forum for mathematicians at all career stages to interact, collaborate, and propose directions for future research. The award will provide US-based early-career researchers, members of underrepresented groups, and researchers not otherwise funded by NSF the opportunity to participate in the conference. This conference aims to help researchers in the related areas identify and jumpstart promising new research directions, and to immerse graduate students and junior researchers in the most current research in the fields. Topics will cover a wide range of areas in symplectic and Poisson geometry, including contact geometry, Dirac and generalized complex geometry, geometric mechanics, higher structures, integrable systems, Lie groupoids and algebroids, microlocal analysis, mirror symmetry, quantization and noncommutative geometry, quantum groups and representation theory, and symplectic topology. Additional details are available at https://sites.google.com/view/weinstein80/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NSF奖项将为美国参与者提供部分支持，以参加将于2023年6月19日至23日在法国巴黎的亨利庞加莱研究所举行的辛几何和泊松几何的许多相互作用会议。 辛几何和泊松几何是几何学的兄弟分支，都深深植根于力学和数学物理的数学表述。这次国际会议将汇集这两个领域的领先专家，以及附近的领域，介绍每个领域的最新重大进展，讨论每个领域的开放问题和挑战，并为所有职业阶段的数学家创建一个论坛，以互动，合作，并为未来的研究提出方向。该奖项将为美国的早期职业研究人员，代表性不足的团体成员以及没有由NSF资助的研究人员提供参加会议的机会。 本次会议旨在帮助相关领域的研究人员识别和启动有前途的新研究方向，并让研究生和初级研究人员沉浸在该领域最新的研究中。主题将涵盖辛几何和泊松几何的广泛领域，包括接触几何、狄拉克和广义复几何、几何力学、高等结构、可积系统、李群胚和代数胚、微局部分析、镜像对称、量子化和非交换几何、量子群和表示论以及辛拓扑。更多的细节可在https://sites.google.com/view/weinstein80/This奖项反映了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。