The real spectrum compactification of character varieties: characterizations and applications

Burger, Marc; Iozzi, Alessandra; Parreau, Anne; Pozzetti, Maria Beatrice

Comptes Rendus. Mathématique, Tome 359 (2021) no. 4, pp. 439-463.

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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