吴文俊数学重点实验室数学物理系列讲座之二十五
报 告 人:Yang-Hui He
City University, London
报告题目: Congruence subgroup, Coset graphs and Modular K3 surfaces, a perspective from N=2 Gauge theory
报告时间:2013年1月11日 下午4点30
报告地点:管理科研楼1518
Abstract: We discuss a correspondence between generalized quiver gauge theories in four dimensions and congruence subgroups of the modular group, hinging upon the trivalent graphs which arise in both.The correspondence is particularly striking for genus zero torsion-free congruence subgroups as exemplified by those which arise in Moonshine. We analyze in detail the case of index 24, where modular elliptic K3 surfaces emerge: here, the elliptic j- invariants can be recast as dessins d'enfant which dictate the Seiberg-Witten curves.
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