Generating the Fukaya categories via Koszul duality

Generating the Fukaya categories via Koszul duality

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Yin Li, University College London
Fine Hall 322

I will present the proof of the split-generation of the compact Fukaya categories of certain Milnor fibers by vanishing cycles. The proof is based on the verification of the Koszul duality between compact and wrapped Fukaya A_\infty algebras of these manifolds. If time permits, I'll also explain how to use a bigraded version of Koszul duality between Fukaya A_\infty algebras to study closed monotone Lagrangian submanifolds in an 8-dimensional Weinstein manifold.