Geometry Seminar: Z. Greenberg (University of Heidelberg)

Geometry Seminar (Geometric Analysis)

Speaker: Zachary Greenberg (University of Heidelberg)

Title: Using Cluster Algebras to Compute Restriction of Anosov Subgroups of Sp(2n,R).

AbstractAnosov representations are an important class of representations generalizing holonomy representations of hyperbolic surfaces. Given a simple Lie group G, one can ask what hyperbolic groups have Anosov representations into G. The boundary of the representation lands in the flag manifold associated to G and studying the topology of this manifold gives conditions on possible representations. We will use the cluster structure on the space of transverse triples of flags to compute the topology of these spaces. When G = SP(2n,R) this is sufficient to classify all Borel Anosov representations. This joint work with S. Dey and M.Riestenberg.