Operator algebras and dynamical systems

算子代数和动力系统

• 批准号: CRC-2015-00121
• 负责人: Putnam, Ian
• 金额: $ 14.57万
• 依托单位: University of Victoria
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2018
• 资助国家: 加拿大
• 起止时间: 2018-01-01 至 2019-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=662734
• 关键词: Operator; algebras; dynamical; systems

Dynamical systems is the area of mathematics which models the temporal and spatial evolution of physical systems. It has a broad range of applications throughout the sciences, social sciences and information technology. Operator algebras began as the mathematical models for quantum mechanical systems, but in recent years have developed deep connections with other areas of mathematics such as number theory, geometry and dynamical systems. Dr. Putnam's research focuses on the interaction between these areas: how dynamical systems provides new structures in operator algebras and how the tools of operator algebras can provide profound new insights into dynamical systems.

动力系统是对物理系统的时间和空间演化进行建模的数学领域。它在整个科学、社会科学和信息技术领域有着广泛的应用。算符代数最初是量子力学系统的数学模型，但近年来与数论、几何和动力系统等其他数学领域发展了深刻的联系。普特南博士的研究重点是这些领域之间的相互作用：动力系统如何为算子代数提供新的结构，以及算子代数的工具如何为动力系统提供深刻的新见解。