International Conference on Representation Theory, Mathematical Physics and Integrable Systems

该奖项支持美国数学家参加将于2018年6月4日至8日在鲁米尼国际协调数学中心举行的表示理论、数学物理和可积系统会议。会议上的演讲将讨论表象理论、数学物理和可积系统的最新研究进展，并将阐述将在未来几年推动这些领域发展的未决问题。这次会议将为美国和外国研究人员之间建立持久的国际合作创造环境。会议将涵盖非对易代数、微分和代数几何的界面的最新发展，以及物理学的观点。近几十年来，这些联系被证明是数不胜数的，导致了新的和强大的纽结不变量的发展，对计数几何和弦理论的新视角，以及将簇代数和分类技术引入代数、几何和数学物理的广泛的子领域。会议网站是https://conferences.cirm-math.fr/1746.htmlThis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 supports the participation of US mathematicians in the conference Representation Theory, Mathematical Physics and Integrable Systems to be held June 4-8, 2018 at Centre International de Recontres Mathematiques in Luminy. Talks at the conference will address the latest progress in research at the nexus of representation theory, mathematical physics, and integrable systems, and will formulate open problems that will drive the development in these areas in the coming years. The conference will foster an environment for the establishment of lasting international collaborations between US and foreign researchers. The conference will cover the latest developments on the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics. These connections have proven numerous in recent decades, leading to advances like the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of subareas in algebra, geometry and mathematical physics. The conference website is https://conferences.cirm-math.fr/1746.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.