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“有限维可积系统2023”国际会议。这次会议将汇集这一影响深远和快速增长的研究领域的顶尖专家、早期职业研究人员和研究生。会议的网站是https://www.uantwerpen.be/nl/personeel/sonja-hohloch/private-webpage/conference-workshop/fdis2023/The Conference，重点是有限自由度可积系统研究的最新进展，这是完全可积系统理论的一个子领域，源于拉格朗日、雅各比、科瓦列夫斯卡娅、诺特、庞加莱等人现在的经典工作。20世纪下半叶，由于Kolmogorov、Arnold和Moser，Kam理论揭示了可积性问题的新视角，刺激了这一领域的进步和连接数学和物理的强大技术的发展。这些都导致了新类型的可积系统的发现，在物理学和几何学中的更广泛的应用，以及对长期悬而未决的问题的解决。会议将综述该领域的最新进展，提出研究和应用的新方向，并促进合作。这一奖项反映了NSF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。

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.