English
The degenerate special Lagrangian equation
Multi angle
Auteurs : Solomon, Jake (Auteur de la Conférence)
CIRM (Editeur )
53C22 - Geodesics [See also 58E10]
53D12 - Lagrangian submanifolds - Maslov index
CIRM (Editeur )
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Résumé :
The degenerate special Lagrangian equation governs geodesics in the space of positive Lagrangians. Existence of such geodesics has implications for uniqueness and existence of special Lagrangians. It also yields lower bounds on the cardinality of Lagrangian intersec- tions related to the strong Arnold conjecture. An overview of what is known about the existence problem will be given. The talk is based on joint work with A. Yuval and with Y. Rubinstein.
Codes MSC : 53C22 - Geodesics [See also 58E10]
53D12 - Lagrangian submanifolds - Maslov index
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 17/06/15 Date de captation : 03/06/15 Sous collection : Research talks arXiv category : Analysis of PDEs ; Differential Geometry ; Symplectic Geometry Domaine : Geometry Format : MP4 (.mp4) - HD Durée : 01:06:11 Audience : Researchers Download : https://videos.cirm-math.fr/2015-06-03_Solomon.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean-Morlet Chair: Moduli spaces in symplectic topology and in Gauge theory / Chaire Jean-Morlet : Espaces de modules en topologie symplectique et en théorie de JaugeOrganisateurs de la rencontre : Hofer, Helmut ; Itenberg, Ilia ; Lalonde, François ; McDuff, Dusa ; Ono, Kaoru ; Polterovich, Leonid ; Teleman, Andrei Dates : 01/06/2015 - 05/06/15 Année de la rencontre : 2015 URL Congrès : https://www.chairejeanmorlet.com/1256.html
Données de citation
DOI : 10.24350/CIRM.V.18771003Citer cette vidéo: Solomon, Jake (2015). The degenerate special Lagrangian equation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18771003 URI : http://dx.doi.org/10.24350/CIRM.V.18771003 |
Bibliographie
- [1] Rubinstein, Y.A., & Solomon, J.P. (2015). The degenerate special Lagrangian equation.
- [2] Solomon, J.P., & Yuval, A.M. (2015). Geodesics of positive Lagrangians in Milnor fibers.
- [3] Solomon, J.P. (2014). Curvature of the space of positive Lagrangians. Geometric and Functional Analysis, 24(2), 670-689 - http://dx.doi.org/10.1007/s00039-014-0267-6
- [4] Solomon, J.P. (2013). The Calabi homomorphism, Lagrangian paths and special Lagrangians. Mathematische Annalen, 357(4), 1389-1424 - http://dx.doi.org/10.1007/s00208-013-0946-x
