Anna Wienhard


Title: Foliated projective structures and the Hitchin component for PSL(4,R)

Abstract: Around 1990 Hitchin proved that there is a connected component, of the representation variety of the fundamental group of a closed surface into PSL(n,R), which is homoemorphic to a ball. In many ways this Hitchin component seems to be a "higher" analogue of Teichmueller space. In this talk I will explain that the Hitchin component for PSL(4,R) can be interpreted as the moduli space of special projective structures on the unit tangent bundle of the surface. This gives a further analogy to Teichmueller space. This is joint work with Olivier Guichard.

April 28 & 29, 2007, Salt Lake City, Utah