Date | Dec 26, 2023 |
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Speaker | 김용환 |

Dept. | Massachusetts Institute of Technology |

Room | 129-309 |

Time | 14:00-17:00 |

This talk will be an expository introduction to the concept of quantum connections. In the first part of the talk, we review quantum connections, and discuss how they play an important role in computing the Gromov-Witten invariants of a Calabi-Yau manifold from its mirror. We then shortly discuss Hodge-theoretic mirror symmetry, and introduce some recent progress in the field that relates to this idea. In the second part of the talk, we follow the computation of the mirror map for the example of the Dwork family of quintic hypersurfaces in P^4 to demonstrate how solving the quantum differential equation can compute Gromov-Witten invariants for the classical case of Calabi-Yau threefolds.

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