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SUMMARY:Notes on the local p-adic Simpson correspondence
DTSTART;VALUE=DATE-TIME:20160329T094500Z
DTEND;VALUE=DATE-TIME:20160329T104500Z
DTSTAMP;VALUE=DATE-TIME:20200815T175609Z
UID:indico-event-1017@indico.math.cnrs.fr
DESCRIPTION:The local p-adic Simpson correspondence by Faltings asserts th
at there is a natural equivalence of categories between small generalized
representations and small Higgs modules for an affine semi-stable scheme o
ver a complete discrete valuation ring of mixed characteristic with algebr
aically closed residue field. However\, in the case of rational coefficien
ts\, the construction of the functor from the former to the latter\, reduc
ing to the theory for integral coefficients\, does not seem to work as it
is written\, as pointed out by Ahmed Abbes. In this talk\, I give an alter
native argument based on a generalized Sen's theory for the semi-stable sc
heme and complete the local theory for rational coefficients.\n\nhttps://i
ndico.math.cnrs.fr/event/1017/
LOCATION:IHES Centre de confĂ©rences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/1017/
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