XXXVIII Workshop on Geometric Methods in Physics | 30.06-6.07.2019 |

VIII School on Geometry and Physics | 24-28.06.2019 |

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## Huijun Fan## Fukaya category of Landau–Ginzburg modelI will report the construction of the mathematical foundation of the Floer theory (i. e., open-string A-side) of Landau–Ginzburg (LG) model via Witten equation. We introduce the concept of Regular tame exact Landau–Ginzburg system on a non-compact Kaehler manifold, and define the notion of LG brane, as the object of the category. The study on Witten equation in our context gives the Fukaya category of LG model. This is the joint work with Wenfeng Jiang and Dingyu Yang. |

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University of Bialystok |

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