Status  Confirmed 
Seminar Series  MATHIHES 
Subjects  math 
Date  Wednesday 30 January 2019 
Time  16:30 
Institute  IHES 
Seminar Room  Amphithéâtre Léon Motchane 
Speaker's Last Name  Monclair 
Speaker's First Name  Daniel 
Speaker's Email Address  
Speaker's Institution  Unniversité ParisSud 
Title  Nondifferentiability of limit sets in antide Sitter geometry 
Abstract  The study of Anosov representations deals with discrete subgroups of Lie groups that have a nice limit set, meaning that they share the dynamical properties of limit sets in hyperbolic geometry. However, the geometry of these limits sets is different: while limit sets in hyperbolic geometry have a fractal nature (e.g. noninteger Hausdorff dimension), some Anosov groups have a more regular limit set (e.g. C1 for Hitchin representations). My talk will focus on quasiFuchsian subgroups of SO(n,2), and show that the situation is intermediate: their limit sets are Lipschitz submanifolds, but not C1. I will discuss the two main steps of the proof. The first one classifies the possible Zariski closures of such groups. The second uses antide Sitter geometry in order to determine the limit cone of such a group with a C1 limit set. Based on joint work with Olivier Glorieux. 
arXiv Preprint Number  
Comments  Séminaire Géométrie et groupes discrets 
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