Status  Confirmed 
Seminar Series  MATHIHES 
Subjects  math 
Date  Tuesday 11 June 2019 
Time  16:30 
Institute  IHES 
Seminar Room  Amphithéâtre Léon Motchane 
Speaker's Last Name  Marquis 
Speaker's First Name  Ludovic 
Speaker's Email Address  
Speaker's Institution  Université de Rennes I 
Title  Geometrization of Certain 4Dimensional Groups 
Abstract  We consider discrete groups admitting proper cocompact topological 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 transformations on a properly convex open subset of the real projective 4space, or a convex cocompact action of Γ on the real hyperbolic 5space or on its Lorentzian counterpart, the antide Sitter 5space. Certain uniform lattices of the isometry group of hyperbolic 4space are geometrizable by the three geometries mentioned above. We will discuss the existence of groups which are not uniform lattices in hyperbolic 4space, and which yet admit several of these three geometries. If time allows, we will also discuss the corresponding deformation spaces. This is joint work with GyeSeon Lee (Heidelberg). 
arXiv Preprint Number  
Comments  Séminaire Géométrie et groupes discrets 
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