Pré-Publication, Document De Travail Année : 2025

Θ-Categories and Tannakian duality

Résumé

We introduce a notion of Θ-categories, which is a renement of the notion of symmetric monoidal ∞-categories. We use this notion to prove a Tannakian duality statement, relating Θ-categories with fpqcstacks by means of a certain stack of ber functors in the context of Θ-categories. This provides, over a base ring of arbitrary characteristic, a strong link between Tannakian Θ-categories and the schematic homotopy types of [Toe06].

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hal-05199582 , version 1 (05-08-2025)

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  • HAL Id : hal-05199582 , version 1

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Joost Nuiten, Bertrand Toen. Θ-Categories and Tannakian duality. 2025. ⟨hal-05199582⟩
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