English
Symplectic Landau-Ginzburg models and their Fukaya categories
Virtualconference
Auteurs : Auroux, Denis (Auteur de la conférence)
CIRM (Editeur )
53D40 - Floer homology and cohomology, symplectic aspects
53D37 - Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category
14J33 - Mirror symmetry
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2558/Slides/Auroux.pdf
CIRM (Editeur )
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Résumé :
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).
Mots-Clés : Fukaya categories; homological mirror symmetry; symplectic fibrations
Codes MSC : Mots-Clés : Fukaya categories; homological mirror symmetry; symplectic fibrations
53D40 - Floer homology and cohomology, symplectic aspects
53D37 - Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category
14J33 - Mirror symmetry
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2558/Slides/Auroux.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 17/05/2021 Date de Captation : 29/04/2021 Sous Collection : Research School Catégorie arXiv : Symplectic Geometry Domaine(s) : Topologie Format : MP4 (.mp4) - HD Durée : 01:00:04 Audience : Chercheurs Download : https://videos.cirm-math.fr/2021-04-29_Auroux.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : From Hamiltonian Dynamics to Symplectic TopologyOrganisateurs de la Rencontre : Damian, Mihai ; Hofer, Helmut ; Humilière, Vincent ; Oancea, Alexandru ; Vichery, Nicolas Dates : 26/04/2021 - 30/04/2021 Année de la rencontre : 2021 URL de la Rencontre : https://conferences.cirm-math.fr/2558.html
Données de citation
DOI : 10.24350/CIRM.V.19750303Citer cette vidéo: Auroux, Denis (2021). Symplectic Landau-Ginzburg models and their Fukaya categories. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19750303 URI : http://dx.doi.org/10.24350/CIRM.V.19750303 |
Voir Aussi
- [Virtualconference] On the algebraic structure of groups of area-preserving homeomorphisms / Auteur de la conférence Seyfaddini, Sobhan.
- [Virtualconference] On symplectic radii of $\ell_p$-products / Auteur de la conférence Ostrover, Yaron.
- [Virtualconference] On the Viterbo conjecture about Lagrangian spectral norms / Auteur de la conférence Guillermou, Stéphane.
- [Virtualconference] Inductive limit which appears in Lagrangian Floer theory / Auteur de la conférence Fukaya, Kenji.
Bibliographie
- ABOUZAID, Mohammed, AUROUX, Denis. Homological mirror symmetry for hypersurfaces in $(C*)^n$, 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
