Functorial operadic calculus

泛函运算微积分

• 批准号: DP1095346
• 负责人: A/Prof Michael Batanin
• 金额: $ 16.72万
• 依托单位: Macquarie University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2010
• 资助国家: 澳大利亚
• 起止时间: 2010-01-01 至 2013-04-15
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP1095346
• 关键词: Functorial; operadic; calculus

Further progress in the foundations of quantum physics, algebra and geometry requires a development of mathematical theories governed by the complicated algebra of higher-dimensional substitutions. The study of this algebra is the main focus of this project. It will allow Australia to remain at the forefront of research into the fundamental laws of Nature and subsequent technological development and to reap the economic, social and intellectual benefits related to this development

量子物理学、代数学和几何学基础的进一步发展需要发展由高维替换的复杂代数所支配的数学理论。 这个代数的研究是这个项目的主要焦点。它将使澳大利亚能够在研究基本自然规律和随后的技术发展方面保持领先地位，并获得与这一发展有关的经济、社会和知识利益。