Geodesic
Hitchin representations of Fuchsian groups
Richard D. Canary1
1University of Michigan, Ann Arbor, USA
EMS surveys in mathematical sciences, Tome 9 (2022) no. 2, pp. 355-388

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DOI

We survey the theory of Hitchin representations of closed surface groups into PSL(d,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.
DOI : 10.4171/emss/61
Classification : 37-XX, 22-XX, 57-XX
Mots-clés : Hitchin representations, augmented Teichmüller space, entropy, positive representations

Richard D. Canary  1

1 University of Michigan, Ann Arbor, USA 
Richard D. Canary. Hitchin representations of Fuchsian groups. EMS surveys in mathematical sciences, Tome 9 (2022) no. 2, pp. 355-388. doi: 10.4171/emss/61
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     title = {Hitchin representations of {Fuchsian} groups},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/61/}
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