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  • Séminaire de théorie spectrale et géométrie
  • Tome 34 (2016-2017)
  • p. 97-114
Higgs bundles, pseudo-hyperbolic geometry and maximal representations
Jérémy Toulisse1
1 Département de Mathématiques Université Côte d’Azur Nice (France)
Séminaire de théorie spectrale et géométrie, Tome 34 (2016-2017), pp. 97-114.
  • Résumé

These notes are an extended version of a talk given by the author in the seminar Théorie Spectrale et Géométrie at the Institut Fourier in November 2016. We present here some aspects of a work in collaboration with B. Collier and N. Tholozan [9]. We describe how Higgs bundle theory and pseudo-hyperbolic geometry interfere in the study of maximal representations into Hermitian Lie groups of rank 2.

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Zbl
DOI : 10.5802/tsg.357
Affiliations des auteurs :
Jérémy Toulisse 1

1 Département de Mathématiques Université Côte d’Azur Nice (France)
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@article{TSG_2016-2017__34__97_0,
     author = {J\'er\'emy Toulisse},
     title = {Higgs bundles, pseudo-hyperbolic geometry and maximal representations},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {97--114},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {34},
     year = {2016-2017},
     doi = {10.5802/tsg.357},
     zbl = {1359.53053},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.357/}
}
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AU  - Jérémy Toulisse
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JO  - Séminaire de théorie spectrale et géométrie
PY  - 2016-2017
SP  - 97
EP  - 114
VL  - 34
PB  - Institut Fourier
PP  - Grenoble
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.357/
DO  - 10.5802/tsg.357
LA  - en
ID  - TSG_2016-2017__34__97_0
ER  - 
%0 Journal Article
%A Jérémy Toulisse
%T Higgs bundles, pseudo-hyperbolic geometry and maximal representations
%J Séminaire de théorie spectrale et géométrie
%D 2016-2017
%P 97-114
%V 34
%I Institut Fourier
%C Grenoble
%U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.357/
%R 10.5802/tsg.357
%G en
%F TSG_2016-2017__34__97_0
Jérémy Toulisse. Higgs bundles, pseudo-hyperbolic geometry and maximal representations. Séminaire de théorie spectrale et géométrie, Tome 34 (2016-2017), pp. 97-114. doi : 10.5802/tsg.357. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.357/
  • Bibliographie
  • Cité par

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[2] Thierry Barbot; François Béguin; Abdelghani Zeghib Feuilletages des espaces temps globalement hyperboliques par des hypersurfaces à courbure moyenne constante, C. R. Math. Acad. Sci. Paris, Volume 336 (2003) no. 3, pp. 245-250 | DOI | MR | Zbl

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[8] Brian Collier Finite order automorphisms of Higgs bundles: theory and application, University of Illinois Urbana Champaign (USA) (2016) (Ph. D. Thesis) | Zbl

[9] Brian Collier; Nicolas Tholozan; Jérémy Toulisse The geometry of maximal representations of surface groups into SO 0 (2,n) (2017) (https://arxiv.org/abs/1702.08799, to appear in Duke Math. J.)

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