May 6 – 10, 2019
Arcetri, Firenze
Europe/Rome timezone

The structure of higher genus Gromov-Witten theory of quintic 3-folds

May 7, 2019, 12:00 PM
A (Arcetri, Firenze)


Arcetri, Firenze

Galileo Galilei Institute


Yongbin Ruan


One of biggest and most difficult problems in the subject of Gromov-Witten
theory is to compute higher genus Gromov-Witten theory of compact Calabi-Yau 3-fold.
There have been a collection of remarkable conjecture from physics for so called 14 one-parameter models,
simplest compact Calabi-Yau 3-folds similar to the quintic 3-folds. These conjectures were
originated from universal properties of BCOV B-model. The backbone of
this collection are four structural conjectures: (1) Yamaguchi-Yau finite generation;
(2) Holomorphic anomaly equation; (3) Orbifold regularity and (4) Conifold gap condition. In
the talk, I will present background and our approach to the problem.
This is a joint work with F. Janda and S. Guo. Our proof is based on certain localization formula from
log GLSM theory developed by Q. Chen, F. Janda and myself.

Presentation materials