HIGHER CATEGORICAL STRUCTURES IN HOMOTOPY THEORY AND HOMOLOGICAL ALGEBRA

这一建议属于一个研究领域，即高等类别的研究领域，近年来受到了很多关注，并应用于数学的各个领域。拟议的研究将有助于澳大利亚研究在这一迅速发展的领域继续发挥突出作用。历史证明，从长远来看，纯数学的基础研究在应用科学中产生重大的、往往是意想不到的成果，这些成果对社会有直接的影响。高等类别领域已经被证明对计算机科学等应用领域产生了影响。

This proposal falls in an area of research, that of higher categories, which has been receiving a lot of attention in recent years and which has applications to diverse areas of mathematics. The proposed research will contribute to continue the prominent role of Australian Research in this rapidly expanding field. History has proved that fundamental research in pure mathematics in the long term produces major and often unexpected outcomes in applied sciences which have a direct impact on society. The area of higher categories has already proved to have an impact on applied fields such as computer science.