Hitchin representations of Fuchsian groups (Q6150000)
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scientific article; zbMATH DE number 7800513
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hitchin representations of Fuchsian groups |
scientific article; zbMATH DE number 7800513 |
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Hitchin representations of Fuchsian groups (English)
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6 February 2024
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Summary: We survey the theory of Hitchin representations of closed surface groups into \(\mathsf{PSL}(d, \mathbb{R})\) with a focus on their dynamical and geometric properties. We then describe recent extensions of this work to study Hitchin representations of co-finite area Fuchsian groups. The motivation for this recent work is a conjecture about the geometry of the augmented Hitchin component.
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Hitchin representations
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augmented Teichmüller space
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entropy
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positive representations
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