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 .
@article{TSG_2016-2017__34__97_0, author = {Toulisse, J\'er\'emy}, 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}, language = {en}, url = {http://www.numdam.org/articles/10.5802/tsg.357/} }
TY - JOUR AU - Toulisse, Jérémy TI - Higgs bundles, pseudo-hyperbolic geometry and maximal representations JO - Séminaire de théorie spectrale et géométrie PY - 2016-2017 SP - 97 EP - 114 VL - 34 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.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 Toulisse, Jérémy %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 http://www.numdam.org/articles/10.5802/tsg.357/ %R 10.5802/tsg.357 %G en %F TSG_2016-2017__34__97_0
Toulisse, Jérémy. 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. http://www.numdam.org/articles/10.5802/tsg.357/
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