McKay通信
McKay correspondence
摘要：
这是我在城崎的演讲和1996年12月在RIMS研讨会上的两次演讲的粗略总结，关于尚未得出任何真正有价值的结论的正在进行的工作，但包含了许多有趣的计算。Vafa公式的历史，SL（n，C）的有限子群的McKay对应如何与镜像对称有关。主要目的是给出数值例子说明2 McKay对应（1）分解的G上<-->同调的表示（2）G同调的共轭类<-->必须工作，并重申我的1992年猜想作为重言式，就像上同调或射影空间的K-理论。另一个目的是介绍中村的结果希尔伯特计划的G-集群，以下他的预印本和他的许多有益的解释。这部分是基于与Y的联合工作。伊东，并受益于鼓励和宝贵的建议，S。向井
英文摘要：
This is a rough write-up of my lecture at Kinosaki and two lectures at RIMS workshops in Dec 1996, on work in progress that has not yet reached any really worthwhile conclusion, but contains lots of fun calculations. History of Vafa's formula, how the McKay correspondence for finite subgroups of SL(n,C) relates to mirror symmetry. The main aim is to give numerical examples of how the 2 McKay correspondences (1) representations of G <--> cohomology of resolution (2) conjugacy classes of G <--> homology must work, and to restate my 1992 Conjecture as a tautology, like cohomology or K-theory of projective space. Another aim is to give an introduction to Nakamura's results on the Hilbert scheme of G-clusters, following his preprints and his many helpful explanations. This is partly based on joint work with Y. Ito, and has benefited from encouragement and invaluable suggestions of S. Mukai.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
