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Comptes Rendus. Mathématique
Geometry and Topology
The real spectrum compactification of character varieties: characterizations and applications
Comptes Rendus. Mathématique, Volume 359 (2021) no. 4, pp. 439-463.

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.

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.

Received:
Accepted:
Published online:
DOI: https://doi.org/10.5802/crmath.123
Marc Burger 1; Alessandra Iozzi 1; Anne Parreau 2; Maria Beatrice Pozzetti 3

1. Departement Mathematik, ETHZ, Rämistrasse 101, CH-8092 Zürich, Switzerland
2. Univ. Grenoble Alpes, CNRS, Institut Fourier, F-38000 Grenoble, France
3. Mathematical Institute, Heidelberg University, Im Neuenheimer feld 205, 69120 Heidelberg, Germany
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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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