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Symplectic Landau-Ginzburg models and their Fukaya categories

By Denis Auroux

Appears in collection : From Hamiltonian Dynamics to Symplectic Topology

This partly expository talk focuses on the notion of ”symplectic Landau-Ginzburg models”, i.e. symplectic manifolds equipped with maps to the complex plane, ”stops”, or both, as they naturally arise in the context of mirror symmetry. We describe several viewpoints on these spaces and their Fukaya categories, their monodromy, and the functors relating them to other flavors of Fukaya categories. (This touches on work of Abouzaid, Seidel, Ganatra, Hanlon, Sylvan, Jeffs, and others).

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Citation data

  • DOI 10.24350/CIRM.V.19750303
  • Cite this video AUROUX, Denis (29/04/2021). Symplectic Landau-Ginzburg models and their Fukaya categories. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19750303
  • URL https://dx.doi.org/10.24350/CIRM.V.19750303


  • ABOUZAID, Mohammed, AUROUX, Denis. Homological mirror symmetry for hypersurfaces in $(C²)^n$, in preparation.
  • HANLON, Andrew. Monodromy of monomially admissible Fukaya-Seidel categories mirror to toric varieties. Advances in Mathematics, 2019, vol. 350, p. 662-746. - https://doi.org/10.1016/j.aim.2019.04.056
  • JEFFS, Maxim. Mirror symmetry and Fukaya categories of singular hypersurfaces. arXiv preprint arXiv:2012.09764, 2020. - https://arxiv.org/abs/2012.09764

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