The l-adic trace formula for dg-categories and Bloch's conductor conjecture - Archive ouverte HAL
Article Dans Une Revue Bollettino dell'Unione Matematica Italiana Année : 2018

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.
Fichier principal
Vignette du fichier
Bloch-ve.pdf (192.7 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01891220 , version 1 (16-10-2018)

Identifiants

Citer

Bertrand Toën, Gabriele Vezzosi. The l-adic trace formula for dg-categories and Bloch's conductor conjecture. Bollettino dell'Unione Matematica Italiana, In press, ⟨10.1007/s40574-018-0166-0⟩. ⟨hal-01891220⟩
46 Consultations
166 Téléchargements

Altmetric

Partager

More