Cluster Algebras, Quiver Representations and Triangulated Categories
Cluster Algebras, Quiver Representations and Triangulated Categories
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簇代数、箭袋表示和三角范畴
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发表时间：
2010
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通讯作者：
Bernhard Keller
中科院分区：
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作者：
Bernhard Keller
这是一个介绍的某些方面Fomin-Zelevinsky的集群代数和他们的联系与代表性理论的箭图和与Calabi-Yau三角范畴。报告以提交人在2006年（巴伐利亚）和2008年（耶路撒冷）举办的暑期学校的讲座为基础。除了现在的经典材料，我们提出了一个大纲的证明周期猜想对Dynkin图（细节将出现在其他地方）和最近的结果解释突变作为衍生的等价物。
This is an introduction to some aspects of Fomin-Zelevinsky’s cluster algebras and their links with the representation theory of quivers and with Calabi-Yau triangulated categories. It is based on lectures given by the author at summer schools held in 2006 (Bavaria) and 2008 (Jerusalem). In addition to by now classical material, we present the outline of a proof of the periodicity conjecture for pairs of Dynkin diagrams (details will appear elsewhere) and recent results on the interpretation of mutations as derived equivalences.