Finite Dimensional Integrable Systems 2017

有限维可积系统 2017

• 批准号: 1707468
• 负责人: Serge Tabachnikov
• 金额: $ 1.2万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-06-01 至 2018-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1707468&HistoricalAwards=false
• 关键词: Finite; Dimensional; Integrable; Systems; 2017

The conference "Finite Dimensional Integrable Systems" will take place at the Centre de Recerca Matematica , Barcelona,Spain on July 3-7, 2017. The goal of the conference is to bring together leading experts in the field, along with researchers in the early stage of career and graduate students, in order to survey recent progress in the field of finite dimensional integrable systems, to present open problems, to outline new directions of research, and to foster new collaborations. The NSF award will defray the travel expenses of attending the conference for PhD students, young researchers, and participants from the USA with no current NSF support, including members of under-represented groups. The practitioners in the field use so many different mathematical tools that sometimes they are not aware of what is happening in other subfields of the theory of completely integrable systems. This conference will bring together experts in mathematics and in mathematical physics with the aim of exchanging information, fostering collaboration, and attracting junior researchers to the area. The talks will focus on topics such as integrability criteria and obstructions to integrability (topological, dynamical, and differential Galois obstructions), integrable geodesic flows and natural Hamiltonian systems, superintegrability, dynamics of rigid body, nonholonomic mechanics, quantum integrability and quantization procedures, applications of finite dimensional integrable systems in mathematical physics and celestial mechanics, discrete differential geometry and integrability, computational and experimental methods and others. Additional information on this conference can be found at http://www.crm.cat/en/Activities/Curs_2016-2017/Pages/Finite-Dimensional -Integrable-Systems-in-Geometry-and-Mathematical-Physics.aspx

“有限维可积系统”会议将于2017年7月3-7日在西班牙巴塞罗那的Recerca Matematica中心举行。会议的目标是汇集该领域的顶尖专家，以及处于职业早期阶段的研究人员和研究生，以调查有限维可积系统领域的最新进展，提出开放的问题，概述新的研究方向，并促进新的合作。美国国家科学基金会的奖金将支付参加会议的博士生、年轻研究人员和来自美国的参与者的旅费，这些参与者目前没有得到美国国家科学基金会的支持，包括代表性不足的群体的成员。该领域的实践者使用了如此多不同的数学工具，以至于有时他们不知道在完全可积系统理论的其他子领域正在发生什么。本次会议将汇集数学和数学物理领域的专家，目的是交流信息，促进合作，并吸引初级研究人员到该领域。讲座将重点讨论可积性标准和可积性障碍（拓扑、动力和微分伽罗瓦障碍）、可积测地流和自然哈密顿系统、超可积性、刚体动力学、非完整力学、量子可积性和量化程序、有限维可积系统在数学物理和天体力学中的应用、离散微分几何和可积性、计算和实验方法等。关于这次会议的更多信息可以在http://www.crm.cat/en/Activities/Curs_2016-2017/Pages/Finite-Dimensional - integrable - systems-in - geometric -and- mathematicalphysics .aspx上找到