Speaker: |
Song Yu (Caltech and Tsinghua U) |
Title: |
Open/closed correspondence and mirror symmetry |
Date (JST): |
Thu, Mar 28, 2024, 13:30 - 15:30 |
Place: |
Seminar Room B |
Abstract: |
We will discuss a mathematical formulation of the open/closed correspondence originally proposed by Mayr in physics, which is a correspondence in genus zero between the open Gromov-Witten theory of toric Calabi-Yau 3-folds and the closed Gromov-Witten theory of toric Calabi-Yau 4-folds. We will discuss different aspects of the correspondence on both the A- and B-sides of mirror symmetry. On the A-side, we will also discuss recent applications of the correspondence to studying structures of Gromov-Witten invariants and integrality properties. This talk is based on joint works with Chiu-Chu Melissa Liu and Zhengyu Zong. |