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arXiv · 2611.01985

Fixed points via tilting

Robert Burklund·Vignesh Subramanian
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Abstract

In this article we initiate the study of perfect commutative $\mathbb{F}_p$-algebras in the non-connective setting. As an application we show that given a finite $C_p$-space $X$ the $\mathbb{F}_p$-cochains on $X^{C_p}$ can be recovered as a base-change of the tilt of the Tate construction on cochains on $X^e$.

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Robert Burklund, Vignesh Subramanian. 2026-11-01. Fixed points via tilting. https://arxiv.org/abs/2611.01985

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