U.S.-German Cooperative Research on Discrete Integrable Systems

美德离散可积系统合作研究

• 批准号: 9603239
• 负责人: Nicolai Reshetikhin
• 金额: $ 1万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-04-15 至 2001-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9603239&HistoricalAwards=false
• 关键词: U.S.; German; Cooperative; Research; Discrete

The goal of this collaboration between the PI and R¼di Seiler of the Technische Universitªt Berlin is to study discrete integrable systems, classical and quantum. This subject has interesting connections with geometry, number theory, representation theory and other branches of mathematics. This work will focus on the Hamiltonian aspects of these systems, their geometric applications, the quantization of the systems, and the relation between C* algebras and representations of the systems. In particular, the work focuses on quantum integrable systems in the thermodynamic limit, and the potential uses of integrable, infinite-dimensional systems over finite fields. The research will also expose students to collaborative research in one of the best universities in Germany.

柏林工业大学圆周率和吕迪塞勒的合作目标是研究离散可积系统，经典的和量子的。这门学科与几何学、数论、表示论和其他数学分支有有趣的联系。这项工作将集中在这些系统的哈密顿方面，它们的几何应用，系统的量子化，以及C*代数和系统表示之间的关系。特别是，这项工作集中在热力学极限下的量子可积系统，以及有限域上可积无限维系统的潜在用途。这项研究还将让学生在德国最好的大学之一进行合作研究。