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Status |
Confirmed |
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Seminar Series |
MATH-IHES |
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Subjects |
hep-th |
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Date |
Wednesday 14 November 2018 |
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Time |
10:00 |
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Institute |
IHES |
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Seminar Room |
Centre de conférences Marilyn et James Simons |
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Speaker's Last Name |
Saito |
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Speaker's First Name |
Shuji |
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Speaker's Email Address |
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Speaker's Institution |
University of Tokyo |
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Title |
A motivic construction of ramification filtrations |
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Abstract |
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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arXiv Preprint Number |
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Comments |
Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo |
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Attachments |
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