In this talk, I would like to introduce in detail some combinatorial tools I used in arXiv:2204.09998, it includes chord diagrammatic treatment of the SYK model and how to enumerate a class of combinatorial structures with respect to their properties by using the corresponding generating functions. This talk is based on a series of articles : arXiv: 1407.1552, arXiv:1806.04380, arXiv:1811.02584 and a book :  Analytic Combinatorics, Cambridge University Press, 2009. 

　　报告人简介：吴双，本科及研究生毕业于巴黎第六大学。博士毕业于巴黎萨克雷大学，博士阶段研究的课题为：Algebraic area distribution of two-dimensional random walks and the Hofstadter model。 

　　在上海交通大学物理与天文学院担任博士后，研究课题：利用组合数学的方法研究SYK及其相关的模型。