Princeton/IAS/Columbia Symplectic Geometry Seminar | |

Topic: | Koszul duality patterns in Floer theory |

Speaker: | Yankı Lekili |

Affiliation: | University of Illinois, Chicago |

Date: | Friday, March 13 |

Time/Room: | 2:30pm - 3:30pm/Math 407, Columbia University |

We study symplectic invariants of the open symplectic manifolds $X$ obtained by plumbing cotangent bundles of spheres according to a plumbing tree. We prove that certain models for the Fukaya category $\mathcal F(X)$ of closed exact Lagrangians in $X$ and the wrapped Fukaya category $\mathcal W(X)$ are related by Koszul duality. As an application, we give explicit computations of symplectic cohomology for the vast majority of these symplectic manifolds (including the case of $A_n$-Milnor fibres). This is joint work with Tolga Etgü.