Algebraic Geometry / Moduli Seminar 

29/04/2011, 13:30 — 14:30 — Room P3.10, Mathematics Building
Yongbin Ruan, Michigan University

Gromov-Witten theory of elliptic orbifold ${\mathbb{P}}^1$ and quasi-modular form

Gromov-Witten invariants count the number of pseudo-holomorphic curves. One often writes 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 ${\mathbb{P}}^1$. This is a joint work with Milanov, Krawitz and Shen.