Twisted K-theory, higher geometry and operator algebras

扭曲 K 理论、高等几何和算子代数

• 批准号: DP180100383
• 负责人: Prof Michael Murray
• 金额: $ 28.35万
• 依托单位: The University of Adelaide
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2018
• 资助国家: 澳大利亚
• 起止时间: 2018-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP180100383
• 关键词: Twisted; theory; higher; geometry; operator

This project aims to develop new theory and techniques linking twisted K-theory, higher-geometry and operator algebras. These are all fundamental areas of mathematics with applications both within mathematics itself and to mathematical physics, particularly in string theory. Anticipated outcomes are fundamental advances in knowledge in mathematics and mathematical physics, enhancement of Australia's international mathematical reputation and collaborative linkages, and the training of the next generation of Australian mathematicians.

这个项目的目的是发展新的理论和技术连接扭曲的K-理论，高等几何和算子代数。这些都是数学的基本领域，在数学本身和数学物理中都有应用，特别是在弦理论中。预期成果是在数学和数学物理知识方面取得根本性进展，提高澳大利亚的国际数学声誉和合作联系，以及培训下一代澳大利亚数学家。