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

几何和数学物理中的可积系统会议将于2020年7月13日至17日在意大利的里雅斯特的SISSA举行。这是第八届欧洲数学大会的附属活动：https://www.8ecm.si/program/satellite-events。会议的举办地SISSA是欧洲领先的研究型大学之一，位于意大利最重要的科学中心之一的里雅斯特。会议将集中讨论几何和动力系统交叉领域的最新发展，特别关注可积系统及其在数学物理中的应用。经典力学中可积系统的概念可以追溯到约瑟夫·刘维尔（1809-1882），有着辉煌而悠久的历史。活动的现代复兴是由对非线性波动方程（如Korteweg deVries和Kadomtsev-Petviashvili方程）的孤子解的分析引起的。会议的目的是汇集已经和正在为数学和物理所有领域的可积系统的方法和思想的成功和传播做出贡献的领先数学家，以及在不久的将来应该在这个迷人的领域中担任领导的初级研究人员和研究生。对可积系统的新兴趣带来了影响深远的求解技术的发明和发展，包括逆散射法和无限格拉斯曼的Sato-Segal-Wilson理论。自那以后，可积系统的概念得到了相当大的扩展，通常涉及广泛的技术。技术的发展和可积模型的新类别相互影响，并从数学和物理的遥远领域得到输入。将有两种类型的演讲：(i)由几何，动力学和可积性领域的主要专家进行25-30次全体会议。（ii）海报会议，主要面向在该领域工作的年轻研究人员，每位研究人员有10分钟的介绍性口头报告。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，并在其他科学领域寻找他们的研究的新应用。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奖项反映了美国国家科学基金会的法定使命，并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，被认为值得支持。

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.