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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
hep-th |
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Date |
Mercredi 14 Novembre 2018 |
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Heure |
10:00 |
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Institut |
IHES |
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Salle |
Centre de conférences Marilyn et James Simons |
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Nom de l'orateur |
Saito |
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Prenom de l'orateur |
Shuji |
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Addresse email de l'orateur |
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Institution de l'orateur |
University of Tokyo |
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Titre |
A motivic construction of ramification filtrations |
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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. |
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Numéro de preprint arXiv |
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Commentaires |
Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo |
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Fichiers attachés |
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