Princeton/IAS Symplectic Geometry Seminar | |

Topic: | Tori in four-dimensional Milnor fibres |

Speaker: | Ailsa Keating |

Affiliation: | Massachusetts Institute of Technology |

Date: | Friday, November 8 |

Time/Room: | 1:30pm - 2:30pm/Fine 322, Princeton University |

The Milnor fibre of any isolated hypersurface singularity contains exact Lagrangian spheres: the vanishing cycles associated to a Morsification of the singularity. Moreover, for simple singularities, it is known that the only possible exact Lagrangians are spheres. I will explain how to construct exact Lagrangian tori in the Milnor fibres of all non-simple singularities of real dimension four. Time allowing, I will use these to give examples of fibres whose Fukaya categories are not generated by vanishing cycles.