Topology & Geometric Group Theory Seminar

Spring 2008

1:30 - 2:30, Malott 207

Tuesday, April 15

Jason Manning, University at Buffalo

Geometric Dehn filling of high dimensional hyperbolic manifolds

We describe geometric methods for understanding the collection of group theoretic Dehn fillings of a high dimensional cusped hyperbolic manifold. Such fillings are shown to act geometrically on either CAT(-1) spaces or CAT(0) spaces with isolated flats depending on the type of filling performed. The shape of the boundary is described and group theoretic information is inferred. This is joint work with Koji Fujiwara.

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