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The Geometry of Margulis Spacetimes

4:00 pm Thursday, January 13, 2011
William Goldman (University of Maryland)

In the early 1980's Margulis discovered 3-manifold quotients of Euclidean 3-space by nonsolvable groups of affine transformations. Such groups are virtually free and naturally appear as fundamental groups of hyperbolic surfaces canonically associated to the 3-manifolds. The 3-manifolds themselves carry geodesically complete flat Lorentz metrics. This talk, representing joint work with Charette, Drumm, Fried, Labourie and Margulis, will describe the topology, dynamics, and classification of these 3-manifolds.

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