Princeton/IAS Symplectic Geometry Seminar | |

Topic: | On symplectic homology of the complement of a normal crossing divisor |

Speaker: | Khoa Nguyen |

Affiliation: | Stanford University |

Date: | Friday, April 3 |

Time/Room: | 1:30pm - 2:30pm/S-101 |

In this talk, we discuss our work in progress about how degeneration of the divisor at infinity into a normal crossing divisor affects the symplectic homology of an affine variety. From an anti-surgery picture, by developing an anti-surgery formula for symplectic homology similar to work by Bourgeois-Ekholm-Eliashberg, we show that essentially, the change in symplectic homology is reflected by the Hochschild invariants of the Fukaya category of a collection of Lagrangian spheres on the smooth divisor.