数学学科学术报告(张印火 比利时Hasselt 大学)

发布者:段玉玲   发布时间:2018-08-27  浏览次数:13

 

报告人:张印火(比利时Hasselt 大学教授)

报告题目:Reconstruction of tensor categories from their invariants

摘要:In the study of monoidal categories, the representation (or Green) ring is a very important invariant (under monoidal equivalence) describing how tensor products decompose.However, this invarinat is not enough to determine the monoidal category.So, the natural questionis,next tothe Green ring invariant, what elseinvariantswe need in order to determine the monoidal category.In this talk, we introduce a new invariant of a monoidal category of finite rank, which gives us the necessary information about morphisms between the objects. This invariant is the Auslander algebra of a monoidal category. We show that a monoidal category of finite rank is uniquely determined, up to monoidal equivalence,by its two invariants:the Green ring and the Auslander algebra, together with the associator.

报告时间:2018827日下午330430

报告地点:学院第三会议室

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