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SUMMARY:On the period conjecture of Gross-Deligne for fibrations
DTSTART;VALUE=DATE-TIME:20151027T090000Z
DTEND;VALUE=DATE-TIME:20151027T100000Z
DTSTAMP;VALUE=DATE-TIME:20191117T050034Z
UID:indico-event-857@indico.math.cnrs.fr
DESCRIPTION:The period conjecture of Gross-Deligne asserts that the period
s of algebraic varieties with complex multiplication are products of value
s of the gamma function at rational numbers. This is proved for CM ellipti
c curves by Lerch-Chowla-Selberg\, and for abelian varieties by Shimura-De
ligne-Anderson. However the question in the general case is still open.\n\
nIn this talk\, we verify an alternating variant of the period conjecture
for the cohomology of fibrations with relative multiplication.The proof re
lies on the Saito-Terasoma product formula for epsilon factors of integrab
le regular singular connections and the Riemann-Roch-Hirzebruch theorem. T
his is a joint work with Javier Fresan.\n\nhttps://indico.math.cnrs.fr/eve
nt/857/
LOCATION:IHES Centre de confĂ©rences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/857/
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