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SUMMARY:Clément Dupont: Galois theory for periods and Lauricella hypergeo
metric functions
DTSTART;VALUE=DATE-TIME:20210224T100000Z
DTEND;VALUE=DATE-TIME:20210224T110000Z
DTSTAMP;VALUE=DATE-TIME:20210227T161611Z
UID:indico-event-6525@indico.math.cnrs.fr
DESCRIPTION:The philosophy of motives suggests the existence of a Galois t
heory for periods\, which can be explicitly determined for certain familie
s of periods such as hyperlogarithms. Recently\, Abreu\, Britto\, Duhr\, G
ardi\, and Matthew computed the Galois theory (a.k.a. the motivic coaction
) of the coefficients in the epsilon-expansion of certain Feynman integral
s in dimensional regularization\, and observed that it could be packaged i
nto succinct formulas at the level of power series. I will explain a proof
of this phenomenon on the toy example of Lauricella hypergeometric functi
ons\, and suggest a geometric framework in which more general hypergeometr
ic-type integrals are equipped with a Galois theory. This is based on the
paper Lauricella hypergeometric functions\, unipotent fundamental groups
of the punctured Riemann sphere\, and their motivic coactions written wit
h Francis Brown\, and ongoing work with Francis Brown\, Javier Fresán\, a
nd Matija Tapušković.\n \n\nZoom Meeting ID: 264 969 3492\nPasswords:
sent to participants by email the day before the seminar via the mailing
list.\nIf you are interested in joigning this seminar series you should c
ontact the organisers.\n \n\n \n\nhttps://indico.math.cnrs.fr/event/6525
/
LOCATION:
URL:https://indico.math.cnrs.fr/event/6525/
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