Quantization of polyhedral surfaces

多面体表面的量化

• 批准号: DP1096711
• 负责人: Prof Vladimir Bazhanov
• 金额: $ 22.27万
• 依托单位: The Australian National 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 2013-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP1096711
• 关键词: Quantization; polyhedral; surfaces

Recent developments in the theory of discrete surfaces have revealed their fascinating links to many other areas of mathematics including integrable systems and quantum geometry. Rapid progress in this field is motivated by applications in pure mathematics, mathematical physics, computer graphics and engineering. Australian researchers are world recognized experts in integrable systems and this project will link them together with German experts in discrete differential geometry. The project will advance our knowledge base in fundamental and applied sciences and offer a unique research training opportunity for students in contemporary areas of pure and applied mathematics.

离散曲面理论的最新发展揭示了它们与许多其他数学领域的迷人联系，包括可积系统和量子几何。在这一领域的快速进展是由纯数学，数学物理，计算机图形学和工程应用的动机。澳大利亚研究人员是世界公认的可积系统专家，该项目将把他们与德国离散微分几何专家联系起来。该项目将推进我们在基础科学和应用科学的知识基础，并为当代纯数学和应用数学领域的学生提供独特的研究培训机会。