Derived categories and applications

派生类别及应用

• 批准号: FL100100137
• 负责人: Prof Amnon Neeman
• 金额: $ 135.69万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Australian Laureate Fellowships
• 财政年份: 2011
• 资助国家: 澳大利亚
• 起止时间: 2011-06-30 至 2016-06-29
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/FL100100137
• 关键词: Derived; categories; applications

This project will deepen our understanding of homological algebra, a mathematical tool that has proved useful in areas ranging from physics to the coding of information for computer transmission. Also, having a thriving research presence in Australia, of this vibrant, modern field, should inspire more students to seek a career in mathematics; this would help relieve the acute, well-documented shortage of mathematicians in Australia. It has been established that Australia is not producing enough mathematicians to meet the needs of industry; a lively centre, full of young, productive mathematicians, will go a long way towards correcting this problem.

该项目将加深我们对同调代数的理解，同调代数是一种数学工具，已被证明在从物理到计算机传输信息编码等领域非常有用。此外，在澳大利亚有一个蓬勃发展的研究存在，这个充满活力的，现代的领域，应该激励更多的学生寻求在数学的职业生涯;这将有助于缓解严重的，有据可查的数学家在澳大利亚短缺。它已被确定，澳大利亚是没有产生足够的数学家，以满足工业的需要;一个充满活力的中心，充满了年轻的，多产的数学家，将大大有助于纠正这个问题。