Saturday April 24th, 2021 | |
| Contact Name: | Chiu-Chu Melissa Liu, Columbia University |
| Details: | |
| The Crepant Transformation Conjecture (CTC), first proposed by Yongbin Ruan and later refined/generalized by others, relates Gromov-Witten (GW) invariants of K-equivalent smooth varieties/orbifolds. The Remodeling Conjecture (proposed by Bouchard-Klemm-Marino-Pasquetti and proved in full generality by Fang, Zong and the speaker) relates open and closed GW invariants of a symplectic toric Calabi-Yau 3-orbifold to invariants of its mirror curve defined by Chekhov-Eynard-Orantin Topological Recursion. We will explain how to use the Remodeling Conjecture to derive all genus open and closed CTC for symplectic toric Calabi-Yau 3-orbifolds. This is based on joint work with Bohan Fang, Song Yu, and Zhengyu Zong. http://www.math.stonybrook.edu/geomfest/ | |