Speaker
Description
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.
