Lie theory and Poisson geometry

李理论和泊松几何

• 批准号: 2134169
• 负责人: Ana Balibanu
• 金额: $ 2万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-02-01 至 2023-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2134169&HistoricalAwards=false
• 关键词: Lie; theory; Poisson; geometry

This award supports the participation of US-based participants in the international workshop "Lie Theory and Poisson Geometry," held at the Centre International de Recontres Mathemathiques (CIRM), in Marseille, France, during the week of January 10-14, 2022. Its subject is the interplay between Poisson geometry and representation theory, and it is aimed primarily at early-career mathematicians. Its overarching goal is to expose the participants to a diverse spectrum of ideas on the forefront of modern research in these fields, and to give them an opportunity to enlarge their network of collaborators.The meeting consists of a series of mini-courses given by senior mathematicians and contributed talks delivered by young researchers. These focus on the latest progress in several rapidly evolving areas at the intersection of Poisson geometry and representation theory, with an emphasis on Poisson manifolds of compact type, Poisson-Lie groups and quantum groups, and cluster structures in Poisson geometry. They are supplemented by structured discussion sessions, with the goal of promoting an active exchange of ideas and the formation of long-term working groups. Details of the schedule can be found on the conference website: https://conferences.cirm-math.fr/2629.htmlThis 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.

该奖项支持美国参与者参加“李理论和泊松几何”国际研讨会，该研讨会于 2022 年 1 月 10 日至 14 日这一周在法国马赛国际数学研究中心 (CIRM) 举行。它的主题是泊松几何和表示论之间的相互作用，主要针对早期职业数学家。其总体目标是让参与者接触到这些领域现代研究前沿的各种思想，并为他们提供扩大合作者网络的机会。会议包括一系列由资深人士教授的迷你课程。数学家和年轻研究人员发表的演讲。这些重点关注泊松几何和表示论交叉领域的几个快速发展领域的最新进展，重点是紧凑型泊松流形、泊松-李群和量子群以及泊松几何中的簇结构。它们还辅以结构化的讨论会议，目的是促进积极的思想交流和长期工作组的形成。日程详情可在会议网站上找到：https://conferences.cirm-math.fr/2629.html 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进行评估，被认为值得支持标准。