Infinite energy harmonic maps and AdS 3-manifolds
Jeudi, 14 Octobre, 2021 - 14:00
In the first part of the talk, we plan to discuss existence and uniqueness results for infinite energy equivariant harmonic maps, as well as some properties. We'll then introduce the Lie group model for the 3-dimensional Anti-de Sitter space and study properly discontinuous groups actions on this space. We'll explain how infinite energy harmonic maps can be used to construct subgroups acting properly discontinuously on domains in Anti-de Sitter space.
In the end, we'll show that there is a correspondence between a class of Anti-de Sitter 3-manifolds and spacelike maximal surfaces in some pseudo-Riemannian manifold. Through the maximal surfaces, one can study the deformation space of these 3-manifolds.
Institution de l'orateur :
Thème de recherche :
Théorie spectrale et géométrie