The l-adic trace formula for dg-categories and Bloch's conductor conjecture
Résumé
Building on [BRTV], we present an-adic trace formula for smooth and proper dg-categories over some base E ∞-algebra B. We also give a variant when B is only an E 2-algebra. As an application of this trace formula, we also propose a strategy of proof of Bloch's conductor conjecture. This is a research announcement and detailed proofs will appear elsewhere.
Domaines
Géométrie algébrique [math.AG]| Origine | Fichiers produits par l'(les) auteur(s) |
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