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

9971765 ercolani该奖项将支持1999年10月29日至31日在亚利桑那大学举行的“将可积性融入数学和科学”研讨会的参与者。在过去的30年里，现代可积系统理论已经被证明是将模型和思想从物理学和应用数学转移到核心数学的一个强有力的有效渠道，反之亦然。最近在逆谱理论、场论几何、统计力学、动力系统、非线性现象中的相干结构和弱湍流中的发展证明了这一点。将可积系统理论的新方法集成到这些学科中的每一个都是迅速的，即使在那些传统上存在的领域也是如此。会议的目的是获得在这些学科中使用可积系统理论的更广泛的视角，并检查平行的发展以及一个领域的思想可以在另一个领域中使用的方式。该研讨会将汇集在这些发展的核心工作的研究人员，以解决超越其特定学科的问题。会谈将强调可积系统理论的思想和方法将如何与数学和科学的主流发展相关。

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.