Gromov-Witten theory of elliptic orbifold P1 and quasi-modular form

Gromov-Witten invariants counts the number of pseudo-holomorphic curves. One often write them in terms of generating functions. Occasionally, it posses some very beautiful properties such as being a quasi-modular form. In the talk, we will explain this phenomenon for elliptic orbifold P1. This is a joint work with Milanov, Krawitz and Shen.