Topics in triangulated categories

三角类别中的主题

• 批准号: DP200102537
• 负责人: Prof Amnon Neeman
• 金额: $ 10.49万
• 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: 2021
• 资助国家: 澳大利亚
• 起止时间: 2021-01-05 至 2023-09-22
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP200102537
• 关键词: Topics; triangulated; categories

This project in pure mathematics, more specifically in modern homological algebra, builds on work started by the chief investigator in the last five years. What has already been done has achieved striking results, solving very different problems that have been open for two decades. And there seem to be many directions in which it could be pursued further. The international mathematical community seems intrigued by what the chief investigator has achieved recently - judging by invitations to give prestigious talks and the feedback at these events. The expected outcome is major progress in our understanding of derived categories, as well as diverse applications. The benefit will be to enhance the international stature of Australian science.

这个纯数学项目，更具体地说是现代同调代数，建立在首席研究员在过去五年中开始的工作基础上。已经做的事情已经取得了惊人的成果，解决了20年来一直存在的非常不同的问题。似乎还有许多方向可以进一步探讨。 国际数学界似乎对这位首席研究员最近取得的成就很感兴趣--从他受邀发表著名演讲以及在这些活动中的反馈来看。预期的结果是在我们对派生类别的理解以及不同的应用方面取得重大进展。其好处将是提高澳大利亚科学的国际地位。