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The Ideal Boundary of a Symmetric Space

Student-Run Geometry/Topology Seminar

Speaker: Ezra Gouvea, UC Davis
Location: 2112 MSB
Start time: Thu, Oct 26 2006, 11:00AM

The ideal boundary of a symmetric space of nonpositive curvature has a natural topology that's homeomorphic to a sphere. However, there is a finer topology arising from a certain metric that retains more of the geometry of the symmetric space itself. With this metric, the ideal boundary is given the structure of a spherical building.