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The degenerate special Lagrangian equation
Multi angle
Authors : Solomon, Jake (Author of the conference)
CIRM (Publisher )
53C22 - Geodesics [See also 58E10]
53D12 - Lagrangian submanifolds - Maslov index
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 53C22 - Geodesics [See also 58E10]
53D12 - Lagrangian submanifolds - Maslov index
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/06/15 Conference Date : 03/06/15 Subseries : Research talks arXiv category : Analysis of PDEs ; Differential Geometry ; Symplectic Geometry Mathematical Area(s) : Geometry Format : MP4 (.mp4) - HD Video Time : 01:06:11 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-06-03_Solomon.mp4 
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Information on the Event
Event Title : 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 JaugeEvent Organizers : Hofer, Helmut ; Itenberg, Ilia ; Lalonde, François ; McDuff, Dusa ; Ono, Kaoru ; Polterovich, Leonid ; Teleman, Andrei Dates : 01/06/2015 - 05/06/15 Event Year : 2015 Event URL : https://www.chairejeanmorlet.com/1256.html
Citation Data
DOI : 10.24350/CIRM.V.18771003Cite this video as: 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 |
Bibliography
- [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
