Sourav Ghosh

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math.GT2025

Isospectrality of Margulis-Smilga spacetimes for irreducible representations of real split semisimple Lie groups

Sourav Ghosh

In this article, we look at real split semisimple algebraic groups $G$ with trivial center and faithful irreducible algebraic representations $R$ of $G$ …

math.GT2024

Avatars of Margulis invariants and proper actions

Sourav Ghosh

In this article, we provide a necessary and sufficient criterion for proper actions on $H^{n, n - 1}$ in terms of certain special Anosov representations in $SO (n, n)$ …

math.GT2024

Deformation of Fuchsian representations and proper affine actions

Sourav Ghosh

The main goal of this article is to generalize Mess' work and using results from Labourie--Wentworth, Potrie--Sambarino and Smilga, to show that inside Hitchin representations, inf…

math.GT2024

Margulis Multiverse: Infinitesimal Rigidity, Pressure Form and Convexity

Sourav Ghosh

In this article we construct the pressure form on the moduli space of higher dimensional Margulis spacetimes without cusps and study its properties. We show that the Margulis space…

math.GT2024

Affine Anosov representations and proper actions

Sourav Ghosh, Nicolaus Treib

We define the notion of affine Anosov representations of word hyperbolic groups into the affine group $SO^{0} (n + 1, n) ⋉ R^{2 n + 1}$ . We then show that a representa…