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

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

Organizer(s) Hofer, Helmut ; Itenberg, Ilia ; Lalonde, François ; McDuff, Dusa ; Ono, Kaoru ; Polterovich, Leonid ; Teleman, Andrei

Date(s) 01/06/2015 - 05/06/2015

linked URL https://www.chairejeanmorlet.com/1256.html

00:00:00 / 00:00:00

2 6

The degenerate special Lagrangian equation

By Jake Solomon

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

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

01:07:35

published on June 17, 2015

From categories to curve-counts in mirror symmetry

By Tim Perutz

01:06:15

published on June 17, 2015

The degenerate special Lagrangian equation

By Jake Solomon

01:05:10

published on June 17, 2015

Existence of Liouville structures on cobordisms

By Emmy Murphy

01:01:40

published on June 17, 2015

Virtual fundamental cycles and contact homology

By John Pardon

10:52

published on June 17, 2015

Interview at CIRM: Dusa McDuff

By Dusa McDuff

58:55

published on June 17, 2015

Nearby Lagrangians are simply homotopic

By Mohammed Abouzaid

Copyright Carmin.tv 2024

Give feedback