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.

该项目的纯数学项目，更具体地是在现代同源代数上，是在过去五年中由首席研究员创立的工作。已经完成的事情取得了惊人的结果，解决了已经开放了二十年的非常不同的问题。而且似乎有很多方向可以进一步追求。 首席调查员最近取得的成就似乎很感兴趣 - 根据邀请，以享有声望的会谈和这些事件的反馈来判断。预期的结果是我们对衍生类别以及各种应用的理解中的主要进步。好处是提高澳大利亚科学的国际地位。