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

Sourav Ghosh

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arXiv · 2107.01626

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

Sourav Ghosh

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Abstract

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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Sourav Ghosh. 2021-07-04. Finite step Rigidity of Hitchin representations and special Margulis-Smilga spacetimes. https://arxiv.org/abs/2107.01626

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