Talk
Deforming holonomy representations of projective surfaces.
- Joan Porti (Universitat Autònoma de Barcelona)
Abstract
The holonomy representation of a projective surface is a representation of its fundamental group in PGL(3,R), the group of linear transformations of the projective plane. It lifts to SL(3,R) and the aim of the talk is to describe its deformation space in SL(4,R), after composing with the standard embedding of SL(3,R) in SL(4,R). I plan to discus the general case of an irreducible representation in SL(n,R) deformed in SL(n+1,R), which includes the Barbot component when n=2.
