Hitchin representations of Fuchsian groups
Richard D. Canary
University of Michigan, Ann Arbor, USA
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Abstract
We survey the theory of Hitchin representations of closed surface groups into 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.
Cite this article
Richard D. Canary, Hitchin representations of Fuchsian groups. EMS Surv. Math. Sci. 9 (2022), no. 2, pp. 355–388
DOI 10.4171/EMSS/61