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The degenerate special Lagrangian equation

By Jake Solomon

Appears in collection : 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 Jauge

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.

Information about the video

Date of recording 03/06/2015
Date of publication 17/06/2015
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18771003
Cite this video Solomon, Jake (03/06/2015). The degenerate special Lagrangian equation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18771003
URL https://dx.doi.org/10.24350/CIRM.V.18771003

Domain(s)

Bibliography

[1] Rubinstein, Y.A., & Solomon, J.P. (2015). The degenerate special Lagrangian equation. <arXiv:1506.08077> - http://arxiv.org/abs/1506.08077
[2] Solomon, J.P., & Yuval, A.M. (2015). Geodesics of positive Lagrangians in Milnor fibers. <arXiv:1501.00972> - http://arxiv.org/abs/1501.00972
[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

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