Three-dimensional geometry and topology

三维几何和拓扑

• 批准号: DP0663399
• 负责人: A/Prof Craig Hodgson
• 金额: $ 15.8万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2006
• 资助国家: 澳大利亚
• 起止时间: 2006-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0663399
• 关键词: Three; dimensional; geometry; topology

This project will carry out important fundamental research into the geometry and topology of 3-dimensional manifolds, an area of intense activity over the last 30 years. The work has direct applications to physics, for example recent work in cosmology aimed at determining the global structure of our universe. Our work on knotting and symmetries of molecular graphs will also be of considerable interest in chemistry and biology. The project will also provide high quality training of undergraduate and graduate students in geometry and topology, and will increase international cooperation by developing closer links with colleagues and institutions overseas.

该项目将对三维流形的几何和拓扑进行重要的基础研究，这是过去30年来激烈活动的一个领域。 这项工作直接应用于物理学，例如最近的宇宙学工作旨在确定我们宇宙的全球结构。我们的工作打结和对称性的分子图也将在化学和生物学相当大的兴趣。 该项目还将为本科生和研究生提供几何和拓扑学方面的高质量培训，并将通过与海外同事和机构建立更密切的联系来加强国际合作。