Workshop on "Teichmüller theory and surfaces in 3-manifolds"

Complete constant-curvature spacetimes in dimension 3

speaker: Fanny Kassel (Laboratoire Paul Painlevé, Université Lille 1)

abstract: The Minkowski space R^{2,1} is the Lorentzian analogue of the Euclidean space R^3; the anti-de Sitter space AdS³ is the Lorentzian analogue of the hyperbolic space H^3. I will survey some recent results on the geometry and topology of their quotients by discrete groups, with strong links with two-dimensional hyperbolic geometry. In particular, I will explain how the quotients of R^{2,1} by free groups (Margulis spacetimes) are « infinitesimal versions » of quotients of AdS^3. This is joint work with J. Danciger and F. Guéritaud.

timetable:
Tue 10 Jun, 14:30 - 15:30, Aula Dini
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