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Symplectic Landau-Ginzburg models and their Fukaya categories
Virtualconference
Authors : Auroux, Denis (Author of the conference)
CIRM (Publisher )
53D40 - Floer homology and cohomology, symplectic aspects
53D37 - Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category
14J33 - Mirror symmetry
Additional resources :
https://www.cirm-math.fr/RepOrga/2558/Slides/Auroux.pdf
CIRM (Publisher )
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Abstract :
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).
Keywords : Fukaya categories; homological mirror symmetry; symplectic fibrations
MSC Codes : Keywords : 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
Additional resources :
https://www.cirm-math.fr/RepOrga/2558/Slides/Auroux.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/05/2021 Conference Date : 29/04/2021 Subseries : Research School arXiv category : Symplectic Geometry Mathematical Area(s) : Topology Format : MP4 (.mp4) - HD Video Time : 01:00:04 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-04-29_Auroux.mp4 
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Information on the Event
Event Title : From Hamiltonian Dynamics to Symplectic TopologyEvent Organizers : Damian, Mihai ; Hofer, Helmut ; Humilière, Vincent ; Oancea, Alexandru ; Vichery, Nicolas Dates : 26/04/2021 - 30/04/2021 Event Year : 2021 Event URL : https://conferences.cirm-math.fr/2558.html
Citation Data
DOI : 10.24350/CIRM.V.19750303Cite this video as: 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 |
See Also
- [Virtualconference] On the algebraic structure of groups of area-preserving homeomorphisms / Author of the conference Seyfaddini, Sobhan.
- [Virtualconference] On symplectic radii of $\ell_p$-products / Author of the conference Ostrover, Yaron.
- [Virtualconference] On the Viterbo conjecture about Lagrangian spectral norms / Author of the conference Guillermou, Stéphane.
- [Virtualconference] Inductive limit which appears in Lagrangian Floer theory / Author of the conference Fukaya, Kenji.
Bibliography
- 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
