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arXiv · 2404.15040

Animated $λ$-rings and Frobenius lifts

Edith Hübner
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Abstract

In this note, we study an integral analogue of animated $δ$-rings: Animated $λ$-rings. We define animated $λ$-rings in terms of animated rings equipped with a structure of coherently compatible Frobenius lifts and show that the resulting $\infty$-category is obtained from animating the classical notion of a $λ$-ring. Our results build on the theory of animated $δ$-rings developed by Bhatt and Lurie in the context of prismatic cohomology.

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Edith Hübner. 2024-04-23. Animated $λ$-rings and Frobenius lifts. https://arxiv.org/abs/2404.15040

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