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Statut Confirmé
Série MATH-IHES
Domaines hep-th
Date Mercredi 14 Novembre 2018
Heure 10:00
Institut IHES
Salle Centre de conférences Marilyn et James Simons
Nom de l'orateur Saito
Prenom de l'orateur Shuji
Addresse email de l'orateur
Institution de l'orateur University of Tokyo
Titre A motivic construction of ramification filtrations
Résumé We give a new interpretation of Artin conductors of characters in the framework of theory of motives with modulus. It gives a unified way to understand Artin conductors of characters and irregularities of line bundle with integrable connections as well as overconvergent F-isocrystals of rank 1. It also gives rise to new conductors, for example, for G-torsors with G a finite flat group scheme, which specializes to the classical Artin conductor in case G = Z/nZ. We also give a motivic proof of a theorem of Kato and Matsuda on the determination of Artin conductors along divisors on smooth schemes by its restrictions to curves. Its proof is based on a motivic version of a theorem of Gabber-Katz. This is a joint work with Kay Rülling.
Numéro de preprint arXiv
Commentaires Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo
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