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SUMMARY:K(π\, 1)-neighborhoods and comparison theorems
DTSTART;VALUE=DATE-TIME:20140623T143000Z
DTEND;VALUE=DATE-TIME:20140623T153000Z
DTSTAMP;VALUE=DATE-TIME:20190923T054309Z
UID:indico-event-457@indico.math.cnrs.fr
DESCRIPTION:A technical ingredient in Faltings' original approach to p-adi
c comparison theorems involves the construction of K(π\, 1)-neighborhoods
for a smooth scheme X over a mixed characteristic dvr with a perfect resi
due field: every point x ∈ X has an open neighborhood U whose general fi
ber is a K(π\, 1) scheme (a notion analogous to having a contractible uni
versal cover). I will show how to extend this result to the logarithmicall
y smooth case\, which might help to simplify some proofs in p-adic Hodge t
heory.\n\nhttps://indico.math.cnrs.fr/event/457/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/457/
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