| |

DATE | 2016-09-29 16:10-17:00 |

PLACE | 數學館3174教室 |

SPEAKER | 馬梓銘 教授（台灣大學數學系） |

TITLE | From Witten-Morse Theory to Mirror Symmetry |

ABSTRACT | Wedge product on deRham complex of a Riemannian manifold M can be pulled back to H(M) via explicit homotopy, constructed using Green's operator, to give higher product structures. Fukaya conjectures the Witten deformation of these higher product structures have semi-classical limits as operators dened by counting gradient ow trees with respect to Morse functions, which generalizes the remarkable Witten deformation of deRham dierential. We will describe brie y the proof of Fukaya's conjecture, and an application to Mirror symmetry which realizes the scattering diagram as semi-classical limit of solution to the Maurer-Cartan equation. |