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 |
Attachments |
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