报告题目：The importance of the core groupoid of a category

报告人：Ross Street（澳大利亚Macquarie大学）

报告时间：2025年12月11日下午14:00-15:00

报告地点：Zoom会议号5277406928（密码: 2025）

报告摘要：The Dold-Kan-Puppe theorem in homological algebra and a theorem of Nicholas Kuhn in the representation theory of finite general linear groups can be seen as relying on the fact that, in the additive world, the representations of a category are, under certain conditions, equivalent to the representations of the core groupoid of that category. The core groupoid of a category is the subcategory with the same objects but only the invertible morphisms.

报告人简介：澳大利亚Macquarie大学教授，澳大利亚科学院院士，著名代数学家。他在范畴论及其在数学各个领域的应用发展中发挥了核心作用，关于enriched范畴、2-范畴和双范畴的许多最重要的概念和成果都出自他之手；他以完整而精湛的优雅方式发展了这些理论，极大地便利了它们在具体数学问题中的应用。