Date: Monday, April 01, 2013
Location: EH 3096 (4:00 PM to 5:00 PM)
Title: Geometric transitions in Lorentzian geometry I
Abstract: A complete flat Lorentzian three-manifold is the quotient of the (2+1) dimensional Minkowski space by a group of isometries acting properly discontinuously. If the group acting is a free group, the quotient is called a Margulis space-time. We show that (most) Margulis space-times arise as rescaled limits of collapsing manifolds modeled on anti de Sitter (AdS) geometry, a negatively curved Lorentzian model geometry. This is joint work with François Guéritaud and Fanny Kassel.
The talk will have two parts. Part I will develop a framework for geometric transitions. Specifically we explain how to make sense of paths of geometric structures that change geometry (e.g. from curved to flat). Part II will focus on the geometry and topology of Lorentzian manifolds, and then give the main construction.
Speaker: Jeff Danciger
Institution: UT Austin
Event Organizer:
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