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2025年5月14日(水) 15:30~17:00
i-Siteなんば S1 (およびZoomのハイブリッド形式の予定)
伏見 陸氏(名古屋大学 多元数理科学研究科)
Triangulated categories with simple-minded collections
A triangulated category admitting a simple-minded collection is equivalnet to the derived category of a positive dg algebra in the sense of Keller and Nicolás. We develop a general theory for such categories. Furthermore, by analyzing the Koszul duality between positive dg algebras and non-positive dg algebras, we generalize the bijection between silting objects and simple-minded collections established by Koenig and Yang.