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SUMMARY:Parallel transport and the p-adic Simpson correspondence
DTSTART;VALUE=DATE-TIME:20150918T123000Z
DTEND;VALUE=DATE-TIME:20150918T133000Z
DTSTAMP;VALUE=DATE-TIME:20191014T210036Z
UID:indico-event-837@indico.math.cnrs.fr
DESCRIPTION:Deninger and Werner developed an analogue for p-adic curves of
the classical correspondence of Narasimhan and Seshadri between stable bu
ndles of degree zero and unitary representations of the fundamental group
of a complex smooth proper curve. Using parallel transport\, they associat
ed functorially to every vector bundle on a p-adic curve whose reduction i
s strongly semi-stable of degree 0 a p-adic representation of the fundamen
tal group of the curve. They asked several questions: whether their functo
r is fully faithful and what is its essential image\; whether the cohomolo
gy of the local systems produced by this functor admits a Hodge-Tate decom
position\; and whether their construction is compatible with the p-adic Si
mpson correspondence developed by Faltings. We will answer these questions
in this talk.\n\nhttps://indico.math.cnrs.fr/event/837/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/837/
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