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Abstract (Expand)
This note summarizes in an informal way some geometric properties of Anosov representations into the symplectic group, which were presented in a talk at the conference What is Next. The mathematical …
Author: Anna Wienhard
Date Published: 2016
Publication Type: Misc
Abstract (Expand)
For suitable metrics on the locally symmetric space associated to a maximal representation, we prove inequalities between the length of the boundary and the lengths of orthogeodesics that generalize …
Authors: Federica Fanoni, Maria Beatrice Pozzetti
Date Published: 2016
Publication Type: Misc
Abstract (Expand)
Let S be a closed oriented surface of genus g≥2. Fix an arbitrary non-elementary representation ρ\col\pi_1(S)\to \rm SL_2(\C) and consider all marked (complex) projective structures on S with holonomy …
Authors: Shinpei Baba, Subhojoy Gupta
Date Published: 31st Aug 2015
Publication Type: Journal
Abstract (Expand)
We study the cameral and spectral data for the moduli space of polystable \SU(p+1,p)-Higgs bundles and deduce the latter from the former. As an application, we obtain that the Toledo invariant classifies …
Author: Ana Peón-Nieto
Date Published: 2015
Publication Type: Misc
Abstract (Expand)
We present a new technique that employs partial differential equations in order to explicitly construct primitives in the continuous bounded cohomology of Lie groups. As anapplication, we prove a …
Authors: Tobias Hartnick, Andreas Ott
Date Published: 2015
Publication Type: Journal
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We describe smooth compactifications of certain families of reductive homogeneous spaces such as group manifolds for classical Lie groups, or pseudo-Riemannian analogues of real hyperbolic spaces and …
Authors: François Guéritaud, Olivier Guichard, Fanny Kassel, Anna Wienhard
Date Published: 2015
Publication Type: Misc
Abstract (Expand)
In this paper we investigate the relationships between closed \mathrmAdS 3-manifolds and Higgs bundles. We have a new way to construct AdS structures that allows us to see many of their properties …
Authors: Daniele Alessandrini, Qiongling Li
Date Published: 2015
Publication Type: Misc