Conference: The Many Interactions between Symplectic and Poisson Geometry

这一NSF奖项将为美国的与会者提供部分支持，以参加将于2023年6月19-23日在法国巴黎亨利·庞卡研究所举行的会议-辛几何和泊松几何的许多互动。辛几何和泊松几何是几何的兄弟分支，都深深植根于力学和数学物理的数学公式。这次国际会议将汇集这两个领域以及附近领域的顶尖专家，展示每个领域的最新重大进展，讨论每个领域的公开问题和挑战，并为所有职业生涯阶段的数学家创建一个交流、合作和提出未来研究方向的论坛。该奖项将为美国的早期职业研究人员、代表性不足的团体的成员以及没有得到NSF其他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、更高结构、可积系统、李群胚和代数体、微局部分析、镜像对称、量子化和非对易几何、量子群和表示理论，以及辛拓扑。更多细节可在https://sites.google.com/view/weinstein80/This上查阅，该奖项反映了国家科学基金会的法定使命，并已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 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.