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Moduli space of real projective structures on surface

Geometry/Topology

Speaker: Inkang Kim, KIAS (Seoul, Korea)
Location: 2112 MSB
Start time: Thu, Apr 20 2017, 12:10PM

The space of the marked convex real projective structures on surface has a rich geometry including the Teichmuller space as a totally geodesic complex submanifold with respect to a mapping class group invariant Kahler metric. This space is also known as a Hitchin component in a character variety consisting of the Anosov representations and primitive stable representations. We will describe its metric properties, dynamics and deformation space.