Bi-complex hyperbolic space and SL(3,C)-quasi-Fuchsian representations

speaker: Andrea Tamburelli (Università di Pisa)

abstract: The bi-complex hyperbolic space is a homogeneous space with negative constant para-holomorphic sectional curvature. After describing its main features, we will define minimal Lagrangian surfaces in this space and their structural equations. If they are equivariant under the action of a representation of a surface group into SL(3,C), we will see that their embedding data provide a parameterization of the space of SL(3,C)-quasi-Fuchsian representations by two copies of the bundle of holomorphic cubic differentials over Teichmüller space.

timetable:
Fri 20 Sep, 11:30 - 12:30, Aula Dini
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