Remodeling conjecture with descendant and Hosono Conjecture

Tsinghua-BIMSA symplectic geometry seminar

Organizers：

Kenji Fukaya(Tsinghua), Honghao Gao(Tsinghua), Hang Yuan(BIMSA)

Speaker：

Zhengyu Zong 宗正宇

Time：

Mon., 3:30-4:30 pm, Mar. 24, 2025

Venue：

B627, Shuangqing Complex Building A

Title:

Remodeling conjecture with descendant and Hosono Conjecture

Abstract：

Based on the work of Eynard-Orantin and Marino, the Remodeling Conjecture was proposed in the papers of Bouchard-Klemm-Marino-Pasquetti in 2007 and 2008. The Remodeling Conjecture can be viewed as an all genus open-closed mirror symmetry for toric Calabi-Yau 3-orbifolds.

In this talk, I will explain an all genus mirror symmetry for descendant Gwomov-Witten nvariants of toric Calabi-Yau 3- orbifolds. The B-model is given by the oscillatory integrals of the Chekhov-Eynard-Orantin invariants of the mirror curve. Meanwhile, I will also talk about the Hosono Conjecture for toric Calabi-Yau 3-orbifolds, which identifies the central charge on A-model to certain period integral on the Hori-Vafa B-model. This talk is based on ongoing joint work with Bohan Fang, Melissa Liu, and Song Yu.