[La compactification des variétés de caractères par le spectre réel : caractérisations et applications]
Cette annonce est un survol de nos résultats concernant la compactification de variétés de caractères par le spectre réel. Nous relions cette compactification à celle obtenue par les fonctions longeurs à valeurs dans une chambre de Weyl et donnons des applications aux représentations maximales et de Hitchin.
We announce results on a compactification of general character varieties that has good topological properties and give various interpretations of its ideal points. We relate this to the Weyl chamber length compactification and apply our results to the theory of maximal and Hitchin representations.
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DOI : 10.5802/crmath.123
CC-BY 4.0
@article{CRMATH_2021__359_4_439_0,
author = {Marc Burger and Alessandra Iozzi and Anne Parreau and Maria Beatrice Pozzetti},
title = {The real spectrum compactification of character varieties: characterizations and applications},
journal = {Comptes Rendus. Math\'ematique},
pages = {439--463},
publisher = {Acad\'emie des sciences, Paris},
volume = {359},
number = {4},
year = {2021},
doi = {10.5802/crmath.123},
zbl = {07362165},
language = {en},
}
TY - JOUR AU - Marc Burger AU - Alessandra Iozzi AU - Anne Parreau AU - Maria Beatrice Pozzetti TI - The real spectrum compactification of character varieties: characterizations and applications JO - Comptes Rendus. Mathématique PY - 2021 SP - 439 EP - 463 VL - 359 IS - 4 PB - Académie des sciences, Paris DO - 10.5802/crmath.123 LA - en ID - CRMATH_2021__359_4_439_0 ER -
%0 Journal Article %A Marc Burger %A Alessandra Iozzi %A Anne Parreau %A Maria Beatrice Pozzetti %T The real spectrum compactification of character varieties: characterizations and applications %J Comptes Rendus. Mathématique %D 2021 %P 439-463 %V 359 %N 4 %I Académie des sciences, Paris %R 10.5802/crmath.123 %G en %F CRMATH_2021__359_4_439_0
Marc Burger; Alessandra Iozzi; Anne Parreau; Maria Beatrice Pozzetti. The real spectrum compactification of character varieties: characterizations and applications. Comptes Rendus. Mathématique, Volume 359 (2021) no. 4, pp. 439-463. doi : 10.5802/crmath.123. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.123/
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Cité par Sources :
Commentaires - Politique
Surface group representations with maximal Toledo invariant
Marc Burger; Alessandra Iozzi; Anna Wienhard
C. R. Math (2003)
Sommaire tome 336, janvier–juin 2003
C. R. Math (2003)