题目：Topological recursion for certain local Calabi-Yau threefolds and modular forms

报告人：周杰，清华大学

时间：2024年11月29日（周五）16:00-17:00

地点：东区第五教学楼5402教室

摘要：

In this talk, I will explain how the differentials produced by Eynard-Orantin topological recursion for the mirror curve of certain local Calabi-Yau threefolds are related to quasi-modular forms and quasi-Jacobi forms. With the help of the proof of the Remodeling Conjecture, the establishment of modularity then allows to study fine structures of open and closed Gromov-Witten invariants of these local Calabi-Yau threefolds, such as integrality, functional relations of generating series.

My talk is based on joint works with Bohan Fang, Yingchun Zhang and Yongbin Ruan.