Hitchin representations of Fuchsian groups

IF 1.3 Q1 MATHEMATICS EMS Surveys in Mathematical Sciences Pub Date : 2023-10-24 DOI:10.4171/emss/61
Richard Canary
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引用次数: 5

Abstract

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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希钦代表的狐族群体
我们研究了闭曲面群$\mathsf{PSL}(d,\mathbb R)$的Hitchin表示理论,重点讨论了它们的动力学和几何性质。然后,我们描述了这项工作的最新扩展,以研究共有限区域Fuchsian群的Hitchin表示。最近这项工作的动机是关于增广希钦分量的几何猜想。
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CiteScore
2.30
自引率
0.00%
发文量
4
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