Symplectic Landau-Ginzburg models and their Fukaya categories | Vidéo | Carmin.tv

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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).

Information about the video

Date of recording 29/04/2021
Date of publication 17/05/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

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

Domain(s)

Symplectic Geometry

Bibliography

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

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2558/Slides/Auroux.pdf

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