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arXiv · 1902.05603

Effective and Infinite-Rank Superrigidity in the Context of Representation Stability

Nate Harman
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Abstract

We discuss certain effective improvements on superrigidity for $SL_n(\mathbb{Z})$ for finite $n>2$. Using these ideas we then use superrigidity to prove a representation stability theorem about pointwise finite dimensional $VIC(\mathbb{Z})$-modules, which itself can be viewed as a superrigidity theorem for $VIC(\mathbb{Z})$ and $GL_\infty(\mathbb{Z})$

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Nate Harman. 2019-02-14. Effective and Infinite-Rank Superrigidity in the Context of Representation Stability. https://arxiv.org/abs/1902.05603

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