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Duality between convex cones
Student-Run Geometry/Topology| Speaker: | Jaejeong Lee, UC Davis |
| Location: | 2112 MSB |
| Start time: | Tue, Dec 4 2007, 1:10PM |
Description
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.