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arXiv · 2508.13089

Report on $\mathbb{E}_\infty$-descendability

Benjamin Antieau·Germán Stefanich
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Abstract

We introduce the notion of $\mathbb{E}_\infty$-descendability as well as a derived variant. We prove that several classes of descendable maps of commutative rings are $\mathbb{E}_\infty$-descendable. As an application, we prove a variant of Tannaka duality.

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Benjamin Antieau, Germán Stefanich. 2025-08-18. Report on $\mathbb{E}_\infty$-descendability. https://arxiv.org/abs/2508.13089

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