Joint IAS-PU Symplectic Geometry Seminar | |

Topic: | Homological Mirror Symmetry for a Calabi-Yau Hypersurface in Projective Space |

Speaker: | Nicholas Sheridan |

Affiliation: | Princeton University; Member, School of Mathematics |

Date: | Friday, October 12 |

Time/Room: | 4:30pm - 5:30pm/Fine Hall 322 |

We prove homological mirror symmetry for a smooth Calabi-Yau hypersurface in projective space. In the one-dimensional case, this is the elliptic curve, and our result is related to that of Polishchuk-Zaslow; in the two-dimensional case, it is the K3 quartic surface, and our result reproduces that of Seidel; and in the three-dimensional case, it is the quintic three-fold. After stating the result carefully, we will describe some of the techniques used in its proof, and draw lots of pictures in the one-dimensional case.