Derivators in Higher Category Theory (A09)

高范畴理论中的导数 (A09)

• 批准号: 390469287
• 金额: --
• 依托单位: Lehrstuhl für Mathematik
• 依托单位国家: 德国
• 项目类别: Collaborative Research Centres
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/390469287?language=en
• 关键词: Derivators; Higher; Category; Theory; A09

The primary goal of this project is to introduce and develop new perspectives in Grothendieck's theory of derivators in order to bridge the gap with the other approaches to the homotopy theory of homotopy theories such as quasi-categories. These frameworks have had notable recent applications to the study of algebraic K-theory. By examining variations on Grothendieck's theory we aim to shed light on the relationship between higher category theory and K-theory as well as notions of descent appearing in algebraic geometry and equivariant homotopy theory.

这个项目的主要目标是介绍和发展新的观点，格罗滕迪克的理论导子，以弥合差距与其他方法同伦理论的同伦理论，如准范畴。这些框架最近在代数K理论的研究中有着显著的应用。通过研究Grothendieck的理论的变化，我们的目标是阐明更高的范畴理论和K-理论之间的关系，以及出现在代数几何和等变同伦理论下降的概念。