Conference: Finite Dimensional Integrable Systems 2023

该提案旨在支持美国数学家，特别是那些处于职业生涯早期阶段的数学家参加将于2023年8月7日至11日在比利时安特卫普大学举行的“有限维可积分系统2023”国际会议。会议将汇集这一影响深远、发展迅速的研究领域的顶尖专家、早期研究人员和研究生。会议的网址是https://www.uantwerpen.be/nl/personeel/sonja-hohloch/private-webpage/conference-workshop/fdis2023/The，会议的重点是研究有限自由度可积系统的最新进展，这是完全可积系统理论的一个分支，从拉格朗日、雅可比、科瓦列夫斯卡娅、诺特、彭加莱等人的经典工作中发展出来的。在20世纪下半叶，由于Kolmogorov， Arnold和Moser， KAM理论揭示了关于可积性问题的新视角，促进了该领域的进步，并发展了连接数学和物理的强大技术。这些都导致了新的可积系统的发现，在物理和几何上的更广泛的应用，以及长期开放问题的解决方案。会议将调查该领域的最新进展，提出新的研究和应用方向，并促进合作。该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 proposal seeks to support participation of US-based mathematicians, especially those in the early stages of career, at the international conference "Finite Dimensional Integrable Systems 2023, to be held at the University of Antwerp, Belgium, on August 7-11, 2023. The conference will bring together leading experts, early-career researchers, and graduate students in this far-reaching and fast-growing area of research. The conference web site is https://www.uantwerpen.be/nl/personeel/sonja-hohloch/private-webpage/conference-workshop/fdis2023/The conference focuses on recent progress in the study of integrable systems with a finite number of degrees of freedom, a subfield of the theory of completely integrable systems that grew out of the now classical work of Lagrange, Jacobi, Kovalevskaya, Noether, Poincare, and others. In the second half of 20th century, KAM theory, due to Kolmogorov, Arnold and Moser, revealed new perspectives on integrability problems, stimulating progress in the area and the development of powerful techniques that bridge mathematics and physics. These have resulted in the discovery of new kinds of integrable systems, broader applications in physics and geometry, and solutions to long-standing open questions. The conference will survey recent progress in the field, present new directions of research and applications, and foster collaborations.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.