Derived categories and applications

这个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的信息编码等领域都很有用。此外，在澳大利亚这个充满活力的现代领域开展蓬勃发展的研究活动，应该会激励更多的学生在数学领域寻求职业生涯；这将有助于缓解澳大利亚严重且有据可查的数学家短缺问题。已经确定，澳大利亚没有培养出足够的数学家来满足工业的需求；一个充满活力的中心，充满了年轻、多产的数学家，将对纠正这个问题大有帮助。

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.