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<p>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 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.</p>

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Finite step rigidity of Hitchin representations and special Margulis–Smilga spacetimes

  • 期刊论文

  • 发表日期：

    2025年4月5日

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  • Sourav Ghosh

摘要

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 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.