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Affine deformations of SL(3,R)-Hitchin representations and invariant surfaces

Xin Nie (KIAS)
Mandag, 28 november, 2016, at 15:15-16:15, in Aud. D4 (1531-219)
Consider representations of a surface fundamental group into the affine transformation group of R^3. The moduli space of such representations with Fuchsian (resp. Hitchin) linear part was first studied by Geoffrey Mess (resp. François Labourie). We shall first review the known results, especially those about constant mean/Gaussian curvature invariant surfaces. We then discuss the more general problem of finding a constant affine Gaussian curvature surface in certain convex domains of R^3 without assuming any group action. This is work in progress with Francesco Bonsante and Andrea Seppi.

AaDAG seminar:   Aa rhus  D ifferential  A lgebraic  G eometry seminar  
Organiseret af: QGM
Kontaktperson: Qiongling Li