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SUMMARY:A motivic construction of ramification filtrations
DTSTART;VALUE=DATE-TIME:20181114T090000Z
DTEND;VALUE=DATE-TIME:20181114T100000Z
DTSTAMP;VALUE=DATE-TIME:20210413T172235Z
UID:indico-event-4016@indico.math.cnrs.fr
DESCRIPTION:We give a new interpretation of Artin conductors of characters
in the framework of theory of motives with modulus. It gives a unified wa
y 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-tor
sors with G a finite flat group scheme\, which specializes to the classica
l Artin conductor in case G = Z/nZ. We also give a motivic proof of a theo
rem of Kato and Matsuda on the determination of Artin conductors along div
isors 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 wit
h Kay Rülling.\n\nhttps://indico.math.cnrs.fr/event/4016/
LOCATION:IHES Centre de conférences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/4016/
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