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

9971765Ercolani该奖项将支持参与者在研讨会上集成到数学和科学将在亚利桑那大学举行的10月29日至31日，1999年。 在过去的30年里，现代可积系统理论被证明是一个非常有效的管道，可以将物理和应用数学的模型和思想转移到核心数学，反之亦然。 这是证明了最近的发展，在逆谱理论，几何场理论，统计力学，动力系统，相干结构的非线性现象，弱湍流。 从可积系统理论到这些学科中的每一个学科的新方法的集成已经迅速，即使在那些领域，它已经有一个传统的存在。会议的目的将是获得一个更广泛的视角，在这些学科的使用可集成系统理论，并审查平行的发展，以及如何从一个领域的想法可以在另一个使用。 该讲习班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与数学和科学的主流发展相关的方式。

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.