Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
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 4-Dimensional 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 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. 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 groups which are not uniform lattices in hyperbolic 4-space, 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 Gye-Seon Lee (Heidelberg).
arXiv Preprint Number
Comments Séminaire Géométrie et groupes discrets

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