On the algebraic hull of the Kontsevich-Zorich cocycle and applications to finiteness theorems | Vidéo | Carmin.tv

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On the algebraic hull of the Kontsevich-Zorich cocycle and applications to finiteness theorems

Appears in collections : Dynamics and geometry in the Teichmüller space / Dynamique et géométrie dans l'espace de Teichmüller, Exposés de recherche

We give a necessary and sufficient condition for the existence of infinitely many non-arithmetic Teichmuller curves in a stratum of abelian differentials. This is joint work with Simion Filip and Alex Wright.

Information about the video

Date of recording 06/07/2015
Date of publication 20/07/2015
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent, Pascal Vichi
Format MP4

Citation data

DOI 10.24350/CIRM.V.18791003
Cite this video Eskin, Alex (06/07/2015). On the algebraic hull of the Kontsevich-Zorich cocycle and applications to finiteness theorems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18791003
URL https://dx.doi.org/10.24350/CIRM.V.18791003

Domain(s)

Bibliography

[1] Eskin, A., & Mirzakhani, M. (2014). Invariant and stationary measures for the $SL(2,\mathbb{R})$ action on Moduli space. <arXiv:1302.3320> - http://arxiv.org/abs/1302.3320
[2] Filip, S. (2014). Semisimplicity and rigidity of the Kontsevich-Zorich cocycle. <arXiv:1307.7314> - http://arxiv.org/abs/1307.7314
[3] Wright, A. (2014). The field of definition of affine invariant submanifolds of the moduli space of abelian differentials. <arXiv:1210.4806> - http://arxiv.org/abs/1210.4806

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