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

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Symplectic Landau-Ginzburg models and their Fukaya categories

De Denis Auroux

Apparaît dans la 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).

Informations sur la vidéo

Date de captation 29/04/2021
Date de publication 17/05/2021
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19750303
Citer cette vidéo 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

Domaine(s)

Géométrie symplectique

Bibliographie

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

Codes MSC

Document(s)

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

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