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Duality between convex cones

Student-Run Geometry/Topology Seminar

Speaker: Jaejeong Lee, UC Davis
Location: 2112 MSB
Start time: Tue, Dec 4 2007, 1:10PM

Abstract: Convex cones in a vector space are convex subsets invariant under positive homotheties of the vector space. There is a natural notion of duality between convex cones in dual vector spaces. I will present some constructions in hyperbolic geometry which are better explained in terms of duality between convex cones -- the Dirichlet fundamental domain and the convex hull of the limit set of a Kleinian group.