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2021•Comptes Rendus MathématiqueOpen access

The real spectrum compactification of character varieties: characterizations and applications

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

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Abstract

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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What this paper is about

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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Available abstract

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.

Key concepts: Compactification (mathematics), Mathematics, Pure mathematics, Character (mathematics), Topology (electrical circuits), Combinatorics, Geometry

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