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SUMMARY:Geometrization of Certain 4-Dimensional Groups
DTSTART;VALUE=DATE-TIME:20190611T143000Z
DTEND;VALUE=DATE-TIME:20190611T154500Z
DTSTAMP;VALUE=DATE-TIME:20201130T084449Z
UID:indico-event-4732@indico.math.cnrs.fr
DESCRIPTION:\n We consider discrete groups admitting proper cocompact topo
logical actions by homeomorphisms on $R^4$. We will say that such a group
Γ is geometrized if we can build an action of Γ by projective transforma
tions on a properly convex open subset of the real projective 4-space\, or
a convex cocompact action of Γ on the real hyperbolic 5-space or on its
Lorentzian counterpart\, the anti-de Sitter 5-space.\n \n Certain uniform
lattices of the isometry group of hyperbolic 4-space are geometrizable by
the three geometries mentioned above. We will discuss the existence of gro
ups which are not uniform lattices in hyperbolic 4-space\, and which yet a
dmit several of these three geometries. If time allows\, we will also disc
uss the corresponding deformation spaces.\n \n This is joint work with Gye
-Seon Lee (Heidelberg).\n\n\nhttps://indico.math.cnrs.fr/event/4732/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/4732/
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