Séminaire Arithmétique et géométrie algébrique
organisé par l'équipe Arithmétique et géométrie algébrique
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Joost Nuiten
Tannakian duality and Theta-categories
4 décembre 2025 - 14:00Salle de séminaires IRMA
Classical Tannakian duality over a field k provides a relation between certain symmetric monoidal k-linear categories and stacks over k. In this talk, I will discuss a version of this correspondence in the oo-categorical setting. In non-rational situations, the notion of a symmetric monoidal oo-category turns out to be not very well-adapted to this kind of algebro-geometric problem. I will introduce a refinement of symmetric monoidal oo-categories (``Theta-categories'') that improves this, and will mention some situations where Tannakian duality can be used to construct examples of schematic homotopy types. All of this is based on joint work with Bertrand Toën. -
Sally Gilles
À venir
11 décembre 2025 - 14:00Salle de séminaires IRMA
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Elsa Maneval
À venir
18 décembre 2025 - 14:00Salle de séminaires IRMA