Nearby Lagrangians are simply homotopic | Vidéo | Carmin.tv

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Nearby Lagrangians are simply homotopic

By Mohammed Abouzaid

Appears in collections : 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, Exposés de recherche

I will describe joint work with Thomas Kragh proving that closed exact Lagrangians in cotangent bundles are simply homotopy equivalent to the base. The main two ideas are (i) a Floer theoretic model for the Whitehead torsion of the projection from the Lagrangian to the base, and (ii) a large scale deformation of the Lagrangian which allows a computation of this torsion.

Information about the video

Date of recording 04/06/2015
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.18771203
Cite this video ABOUZAID, Mohammed (04/06/2015). Nearby Lagrangians are simply homotopic. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18771203
URL https://dx.doi.org/10.24350/CIRM.V.18771203

Domain(s)

Bibliography

Abouzaid, M., & Kragh, T. (2014). On the immersion classes of nearby Lagrangians. <arXiv:1305.6810> - http://arxiv.org/abs/1305.6810

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