Status | Confirmed |
Seminar Series | MATH-IHES |
Subjects | hep-th |
Date | Monday 4 December 2017 |
Time | 14:30 |
Institute | IHES |
Seminar Room | Amphithéâtre Léon Motchane |
Speaker's Last Name | Deraux |
Speaker's First Name | Martin |
Speaker's Email Address | |
Speaker's Institution | Université Grenoble Alpes |
Title | Spherical CR structures on 3-manifolds |
Abstract | : A spherical CR structure on a 3-manifold is a geometric structure modeled on the boundary at infinity of the complex hyperbolic plane, or in other words a (G,X)-structure with G=PU(2,1), X=S^3. I will discuss spherical CR uniformizations, which are a special kind of spherical CR structure that arises by taking the manifold at infinity of a quotient of the ball by the action of a discrete group of isometries. I will explain how to construct some explicit uniformizations, including a 1-parameter family of (pairwise non-conjugate) spherical CR uniformizations of the figure eight knot complement. |
arXiv Preprint Number | |
Comments | Séminaire Géométrie et groupes discrets |
Attachments |
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