讲座简介：For a gentle algebra A with one maximal path, it can be glued by onequiver of type An. There is a natural quasi-chord diagram α associated to A. In this talk, we show that we can check if A has finite global dimension by counting the specific faces of α. Then we study the dihedral group action on the set of quasi-chord diagrams. At last, we discuss the special case of maximal chord diagrams. This is a joint work with Haigang Hu (USTC) and Yu Ye (USTC).