Invariant theory, cellularity and geometry.

不变理论、细胞性和几何学。

• 批准号: DP0772870
• 负责人: Prof Gustav Lehrer
• 金额: $ 43.01万
• 依托单位: The University of Sydney
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2007
• 资助国家: 澳大利亚
• 起止时间: 2007-04-27 至 2013-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0772870
• 关键词: Invariant; theory; cellularity; geometry.

Mathematics underpins every aspect of people's interactions with nature (e.g. physics) and with each other (e.g. finance). Its uses range from formulating physical laws in order to understand and predict nature, to analysis of financial concepts and transactions. This project will make fundamental contributions to the mathematics of symmetry. Benefits include enhancement of Australia's position at the very frontier of world class mathematical research, and a myriad of potential applications to physics, coding theory, information technology, electronic security and experimental design.

数学支撑着人们与自然（例如物理学）和彼此（例如金融）相互作用的各个方面。它的用途范围从制定物理定律以理解和预测自然，到分析金融概念和交易。这个项目将对对称性数学做出根本性的贡献。其好处包括提高澳大利亚在世界级数学研究前沿的地位，以及在物理学、编码理论、信息技术、电子安全和实验设计方面的无数潜在应用。