Conference: Integrable systems in geometry and mathematical physics; July 13-17, 2020; Trieste, Italy

会议：几何和数学物理中的可积系统；

• 批准号: 2000628
• 负责人: Vladimir Dragovic
• 金额: $ 2.5万
• 依托单位: University of Texas at Dallas
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-03-01 至 2023-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2000628&HistoricalAwards=false
• 关键词: Conference; Integrable; systems; geometry; mathematical

The Conference Integrable Systems in Geometry and Mathematical Physics will be organized at SISSA, Trieste, Italy, July 13-17, 2020. It is a satellite event to the 8th European Congress of Mathematics: https://www.8ecm.si/program/satellite-events. The venue of the conference, SISSA is one of the leading European research universities, situated in Trieste, which is one of the most important scientific hubs in Italy. The meeting will focus on the most recent developments at the crossroads of geometry and dynamical systems, with a special focus on integrable systems and applications to mathematical physics. The notion of integrable system in classical mechanics dates back to Joseph Liouville (1809-1882) and has an illustrious and long history. The modern resurgence of activity was initiated by the analysis of soliton solutions of nonlinear wave equations like the Korteweg deVries and Kadomtsev-Petviashvili equations. The conference aims to bring together both leading mathematicians that have contributed and are contributing to the success and dissemination of methods and ideas originating from integrable systems in all areas of mathematics and physics and also junior researchers and graduate students who should take over the lead in this fascinating field in the near future.The renewed interest in integrable systems brought along the invention and development of far reaching solution techniques, including the inverse scattering method and the Sato-Segal-Wilson theory of infinite Grassmannians. The notion of integrable systems has since expanded considerably and often refers to a wide range of techniques. The development of techniques and new classes of integrable models has both cross-fertilized and received input from distant areas of mathematics and physics. There will be two types of presentations: (i) 25-30 plenary talks by leading specialists in the fields of geometry, dynamics, and integrability. (ii) Poster session mostly for young researchers working in the fields, with 10 minutes introductory oral presentation for each of them. The scientific background of the conference is based on relationships between several popular areas of research. Thus, it has a potential to attract young mathematicians, minorities and women to participate in exciting cross-disciplinary research and look for new applications of their research in other fields of science. The results of this event will be disseminated by the participants from around the world. https://indico.sissa.it/event/41/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.

在几何和数学物理会议可积系统将在西萨，的里雅斯特，意大利，2020年7月13日至17日组织。 这是第八届欧洲数学大会的卫星活动：https://www.8ecm.si/program/satellite-events。会议的地点，西萨是欧洲领先的研究型大学之一，位于的里雅斯特，这是意大利最重要的科学中心之一。 会议将集中在几何和动力系统的十字路口的最新发展，特别关注可积系统和数学物理的应用。经典力学中可积系统的概念可以追溯到约瑟夫·刘维（Joseph Liouville，1809-1882），具有悠久的历史。现代活动的复苏开始于对非线性波动方程（如Korteweg deVries和Kadomtsev-Petviashvili方程）的孤子解的分析。这次会议的目的是汇集两个领先的数学家，贡献和正在贡献的成功和传播的方法和思想起源于可积系统在所有领域的数学和物理，也初级研究人员和研究生谁应该接管领导在这一迷人的领域在不久的将来。可积系统的新的兴趣带来了沿着的发明和发展的深远解决技术，包括逆散射方法和Sato-Segal-Wilson理论的无限格拉斯曼。可积系统的概念从此得到了相当大的扩展，并且经常涉及到广泛的技术。技术的发展和可积模型的新类别都交叉施肥，并从遥远的数学和物理领域的输入。 将有两种类型的介绍：（一）25-30个全体会议由领先的专家在几何，动力学和可积性领域的会谈。(ii)海报会议主要针对在该领域工作的年轻研究人员，每人有10分钟的介绍性口头介绍。会议的科学背景是基于几个热门研究领域之间的关系。因此，它有可能吸引年轻的数学家，少数民族和妇女参与令人兴奋的跨学科研究，并寻找他们的研究在其他科学领域的新应用。这次活动的结果将由来自世界各地的参与者传播。https://indico.sissa.it/event/41/This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的支持。