Foundations of higher dimensional homological algebra

最近在物理学和数学方面的发现使人们认识到，经典数学只是最终隐藏在自然法则背后的高维结构的“冰山一角”。澳大利亚一直处于范畴论研究的前沿，由于这一地位，有独特的机会参与到高范畴论和高维同调代数发展的早期阶段。这将使澳大利亚处于随后技术发展的前沿，并获得与之相关的经济、社会和智力利益。

Recent discoveries in physics and mathematics led to the understanding that classical mathematics is only 'the tip of the iceberg' of the higher-dimensional structures that are ultimately behind the laws of Nature. Australia has always been in the forefront of research in Category Theory, and due to that position, has a unique opportunity to participate in the early stages of developments of Higher Category Theory and Higher Dimensional Homological Algebra. This will allow Australia to be in the forefront of the subsequent technological development and to reap the economical, social and intellectual benefits related to it.