Members & Guests

Dr. Sourav Ghosh

Project leader


Ruprecht-Karls-Universität Heidelberg

E-mail: sghosh(at)mathi.uni-heidelberg.de
Telephone: +49-6221-54-14052
Homepage: https://sites.google.com/site/souravghos…

Project

12Anosov representations and Margulis spacetimes

Publications within SPP2026

In this article, we interpret affine Anosov representations of any word hyperbolic group in \(\mathsf{SO}_0(n−1,n)⋉\mathbb{R}^{2n−1}\) as infinitesimal versions of representations of word hyperbolic groups in \(\mathsf{SO}_0(n,n)\) which are both Anosov in \(\mathsf{SO}_0(n,n)\) with respect to the stabilizer of an oriented (n−1)-dimensional isotropic plane and Anosov in \(\mathsf{SL}(2n,\mathbb{R})\) with respect to the stabilizer of an oriented n-dimensional plane. Moreover, we show that representations of word hyperbolic groups in \(\mathsf{SO}_0(n,n)\) which are Anosov in \(\mathsf{SO}_0(n,n)\) with respect to the stabilizer of an oriented (n−1)-dimensional isotropic plane, are Anosov in \(\mathsf{SL}(2n,\mathbb{R})\) with respect to the stabilizer of an oriented n-dimensional plane if and only if its action on \(\mathsf{SO}_0(n,n)/\mathsf{SO}_0(n-1,n)\) is proper. In the process, we also provide various different interpretations of the Margulis invariant.

 

Related project(s):
12Anosov representations and Margulis spacetimes

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