Lie theory and Poisson geometry

该奖项支持美国参与者参加2022年1月10日至14日在法国马赛国际数学中心（CIRM）举行的国际研讨会“Lie Theory and Poisson Geometry”。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。其总体目标是让与会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。会议包括由高级数学家提供的一系列小型课程和由年轻研究人员提供的演讲。这些集中在几个迅速发展的领域的最新进展，在泊松几何和表示理论的交叉点，重点是泊松流形的紧凑型，泊松李群和量子群，以及集群结构的泊松几何。除此之外，还举行了分阶段的讨论会，目的是促进积极交流意见和组建长期工作组。时间表的细节可以在会议网站上找到：https://conferences.cirm-math.fr/2629.htmlThis奖项反映了NSF的法定使命，并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来支持。

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.