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SUMMARY:Diagonal Euler systems\, p-adic L-functions and the arithmetic of
elliptic curves in rank at most 2
DTSTART;VALUE=DATE-TIME:20170117T103000Z
DTEND;VALUE=DATE-TIME:20170117T113000Z
DTSTAMP;VALUE=DATE-TIME:20210413T111820Z
UID:indico-event-1904@indico.math.cnrs.fr
DESCRIPTION:ERC Advanced Grant : AAMOT (Arithmetic of Automorphic Motives
)\n\nPI : Michael HARRIS\n\n \n\n\nIn recent years there has been notabl
e progress on the construction of Euler systems and their connection to sp
ecial values of classical and p-adic L-functions. In this talk I will desc
ribe Euler systems associated to a triple (f\,g\,h) of classical (cuspidal
or Eisenstein) modular forms and their relation with p-adic L-functions c
onstructed by Hida\, Harris and Tilouine\, following ideas of Kato. As an
application\, I will explain how these Euler systems can be used to obtain
new results on the arithmetic of elliptic curves when the rank of the Mor
dell-Weil group is 0\, 1 or 2.\n\n\nhttps://indico.math.cnrs.fr/event/1904
/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/1904/
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