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Inductive limit which appears in Lagrangian Floer theory
Virtualconference
Authors : Fukaya, Kenji (Author of the conference)
CIRM (Publisher )
18G99 - None of the above but in this section
53D40 - Floer homology and cohomology, symplectic aspects
57R99 - None of the above but in this section
CIRM (Publisher )
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Abstract :
For a given symplectic manifold and a finite set of Lagrangian submanifolds which intersect transversally each other we can construct an $A_{\infty }$-category. When we consider Lagrangian submanifolds which are not necessary intersect transversally there are issues to perform such a construction. In this talk I want to explain a way to study this situation. It can be used to compose Lagrangian correspondences without assuming transversality.
Keywords : Floer homology; Morse homotopy; A infinite category; Gromov-Hausdorff distance
MSC Codes : Keywords : Floer homology; Morse homotopy; A infinite category; Gromov-Hausdorff distance
18G99 - None of the above but in this section
53D40 - Floer homology and cohomology, symplectic aspects
57R99 - None of the above but in this section
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/05/2021 Conference Date : 27/04/2021 Subseries : Research School arXiv category : Symplectic Geometry ; Differential Geometry ; Geometric Topology ; Category Theory Mathematical Area(s) : Algebra ; Analysis and its Applications ; Mathematical Physics ; Topology ; Geometry ; Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:55:18 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-04-27_Fukaya.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.19750403Cite this video as: Fukaya, Kenji (2021). Inductive limit which appears in Lagrangian Floer theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19750403 URI : http://dx.doi.org/10.24350/CIRM.V.19750403 |
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] Symplectic Landau-Ginzburg models and their Fukaya categories / Author of the conference Auroux, Denis.
Bibliography
- FUKAYA, Kenji. Gromov-Hausdorff convergence of filtered A infinity categories, in preparation. -
- FUKAYA, Kenji, OH, Yong-Geun, OHTA, Hiroshi, et al. Lagrangian intersection Floer theory: anomaly and obstruction, Part II. American Mathematical Soc., 2010. -
- FUKAYA, Kenji. Unobstructed immersed Lagrangian correspondence and filtered A infinity functor. arXiv preprint arXiv:1706.02131, 2017. - https://arxiv.org/abs/1706.02131
