Workshop on Integrating Integrability into Mathematics and Science, October 29 - 31, 1999, Tuscon, Arizona

将可积性融入数学和科学研讨会，1999 年 10 月 29 日至 31 日，亚利桑那州图斯康

• 批准号: 9971765
• 负责人: Nicholas Ercolani
• 金额: $ 1.2万
• 依托单位: University of Arizona
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-07-01 至 2000-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9971765&HistoricalAwards=false
• 关键词: Workshop; Integrating; Integrability; into; Mathematics

9971765ErcolaniThis award will support participants at the Workshop on Integrating Integrability into Mathematics and Science to be held at the University of Arizona from October 29-31, 1999. Over the last 30 years the modern theory of integrable systems has proved to be a strongly effective conduit for transferring models and ideas from physics and applied mathematics to core mathematics and vice versa. This is evidenced by recent developments in inverse spectral theory, geometry of field theories, statistical mechanics, dynamical systems, coherent structures in nonlinear phenomena, and weak turbulence. The integration of new methods from integrable systems theory into each of these disciplines has been rapid even in those areas where it has had a traditional presence. The purpose of the meeting will be to gain a broader perspective on the use of integrable systems theory across these disciplines and to examine parallel developments as well as ways in which ideas from one field could be used in another. The workshop would bring together researchers who work at the heart of these developments to address issues that transcend their specific disciplines. The talks will emphasize ways in which ideas and methods from integrable systems theory will be relevant to mainstream developments in mathematics and science.

9971765Cercolanithis Award将在1999年10月29日至31日在亚利桑那大学举行的数学和科学工作坊的参与者。 逆光谱理论，现场理论的几何形状，统计力学，动力学系统，非线性现象中的相干结构和弱湍流的最新发展证明了这一点。 即使在那些具有传统存在的领域，从集成系统理论中的新方法集成到这些学科中的每个学科也很快。会议的目的将是对在这些学科中使用综合系统理论的使用更广泛的看法，并检查平行的发展以及在另一个领域中使用一个想法的方式。 研讨会将把工作的研究人员聚集在一起，这些研究人员以这些发展的核心来解决超越其特定学科的问题。 谈判将强调综合系统理论的思想和方法与数学和科学领域的主流发展有关的方式。