05-28【Jie Zhou】Zoom (725-874-7880, 314159) 吴文俊数学重点实验室数学物理系列报告之2020-05

发布者:卢珊珊发布时间:2020-05-26浏览次数:1011

题目:Quasi-modular and quasi-Jacobi forms of genus two, and topological recursion


报告人:Jie Zhou (YMSC, Tsinghua University)


时间:14:30-16:00, May 28, 2020 (China time)


Zoom (725-874-7880, 314159)


摘要: I will start by reviewing how natural constructions on the moduli space of genus one stable curves give rise to differential rings of quasi-modular forms and quasi-Jacobi forms. Then I will explain the construction of a theory of quasi-modular forms and quasi-Jacobi forms at genus two developed in a joint work with Yongbin Ruan and Yingchun Zhang. Finally I will discuss the application in topological recursion and in the open/closed Gromov-Witten theory of a special class of toric Calabi-Yau threefolds whose mirror curves are of genus one or two.