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SUMMARY:Riemann-Hilbert correspondence for irregular holonomic D-modules
DTSTART;VALUE=DATE-TIME:20140122T090000Z
DTEND;VALUE=DATE-TIME:20140122T100000Z
DTSTAMP;VALUE=DATE-TIME:20210621T224655Z
UID:indico-event-379@indico.math.cnrs.fr
DESCRIPTION:The classical Riemann-Hilbert correspondence establishes an eq
uivalence between the derived category of regular holonomic D-modules and
the derived category of constructible sheaves. Recently\, I\, with Andrea
D'Agnolo\, proved a Riemann-Hilbert correspondence for holonomic D-modules
which are not necessarily regular. In this correspondence\, we have to re
place the derived category of constructible sheaves with a full subcategor
y of ind-sheaves on the product of the base space and the real projective
line. The construction is therefore based on the theory of ind-sheaves by
Kashiwara-Schapira\, and also it is influenced by Tamarkin's work. Among t
he main ingredients of our proof is the description of the structure of fl
at meromorphic connections due to Takuro Mochizuki and Kiran Kedlaya.\n\n
Page web du sĂ©minaire\n\nhttps://indico.math.cnrs.fr/event/379/
LOCATION:IHES Centre de confĂ©rences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/379/
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