# Members & Guests

## Dr. Sourav Ghosh

Ruprecht-Karls-Universität Heidelberg

E-mail: sghosh(at)mathi.uni-heidelberg.de
Telephone: +49-6221-54-14052

## 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.