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Finite step Rigidity of Hitchin representations and special Margulis-Smilga spacetimes

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arxiv 2107.01626 v1 pith:RHE32LU2 submitted 2021-07-04 math.GT

Sourav Ghosh This is my paper · ORCID
classification math.GT
keywords finitemargulis-smilgarepresentationsrigidityspectrastepgrouphitchin
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In this article we use the "escape from subvarieties lemma" introduced by Eskin--Mozes--Oh to prove finite step rigidity results for the Jordan-Lyapunov projection spectra of Hitchin representations and the Margulis-Smilga invariant spectra of some special Margulis-Smilga spacetimes. In the process, we also prove a similar finite step rigidity result for the Cartan spectra of representations of a finitely generated group inside a connected semisimple real algebraic Lie group with trivial center.

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Cited by 1 Pith paper

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  1. Affine Anosov representations

    math.DS 2024-12 conditional novelty 2.0 of 10

    This paper is a survey of affine Anosov representations, a framework in which proper affine actions of hyperbolic groups are characterized by Margulis invariant spectra, mostly quoting the author's own results.

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