The telescope conjecture for derived categories arising in representation theory

表示论中出现的派生范畴的望远镜猜想

• 批准号: 126176653
• 负责人: Professor Dr. Henning Krause
• 金额: --
• 依托单位: Fakultät für Mathematik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2009
• 资助国家: 德国
• 起止时间: 2008-12-31 至 2011-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/126176653?language=en
• 关键词: telescope; conjecture; derived; categories; arising

The telescope conjecture for triangulated categories will be studied for categories arising in representation theory. We follow the original approach of Neeman and establish a stratification of derived categories over appropriate differential graded algebras. Another promising approach is that of Krause and Stovicek for derived categories of hereditary rings. Positive results will be applied in particular to representations of finite dimensional algebras, for instance in the context of cohomological support varieties or for classifying thick and localizing subcategories.

三角范畴的望远镜猜想将被研究的范畴出现在表示论。我们遵循原来的方法尼曼和建立一个分层的衍生类别适当的微分分次代数。另一个有前途的方法是克劳斯和Stovicek的衍生类别的遗传环。积极的结果将特别适用于表示有限维代数，例如在上下文中的cohomological支持品种或分类厚和本地化的子类别。