题 目 :Supersymmetric field theories and Jacobi forms
摘 要: Graeme Segal conjectured in the 1980's that the cohomology theory known as ellptic cohomology can be described in terms of 2-dim (conformal) field theories. Almost twenty years later, Stolz and Teichner developed Segal's idea systematically. They showed that the partition function of a 2|1 EFT (Euclidean field theory) is a modular form, which can be seen as the first step towards attacking the conjecture. We give more evidence of the conjecture by showing that the partition function of 2|2-field theories are Jacobi forms,which we believe corresponds to complex elliptic genus.
报告人: 李勤博士 中国科学技术大学数学科学学院
时 间: 2011年10月12日 下午4:50--5:50
地 点:管理科研楼1518室
主办单位: 中国科学技术大学数学科学学院 国家数学与交叉科学中心合肥分中心 中科院吴文俊数学重点实验室
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