Math Colloquia

646

Date | Nov 01, 2018 |
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Speaker | Kenji Fukaya |

Dept. | Stony Brook University |

Room | 129-101 |

Time | 16:00-17:00 |

Lagrangian Floer theory in symplectic manifold associate a category (A infinity category) to a symplectic manifold. More than 20 years ago a relation of a relation between Lagrangian Floer theory and Gauge theory was studied by Floer himself various other people. A conjecture by Atiyah and Floer is based on this relation. One motivation of introducing A infinity category associated to a Symplectic manifold is to study Atiyah-Floer conjecture and related problems.

In this talk, based on a joint work with A. Daemi, I want to explain some of the recent progress in this problem.

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