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SUMMARY:On a generalization of Perrin-Riou's conjecture on Kato's zeta ele
 ments - Takamichi Sano (Osaka City University and King's College London)
DTSTART:20200211T143000Z
DTEND:20200211T153000Z
UID:TALK136612@talks.cam.ac.uk
CONTACT:Cong Xue
DESCRIPTION:In 1993\, Perrin-Riou proposed a conjecture\, which relates Ka
 to's zeta elements for elliptic curves with Heegner points. She showed tha
 t her conjecture implies the Mazur-Tate-Teitelbaum conjecture in the rank 
 one case\, by using a formula concerning p-adic heights\, which was indepe
 ndently obtained by Rubin. One can show that the Iwasawa main conjecture c
 ombined with Perrin-Riou's conjecture implies the (p-part of the) Birch-Sw
 innerton-Dyer formula in the rank one case\, although this is not mentione
 d in Perrin-Riou's work. In this talk\, I will propose a generalization of
  Perrin-Riou's conjecture by introducing a "Bockstein regulator" and gener
 alize the results above to elliptic curves of arbitrary rank. This is join
 t work with D. Burns and M. Kurihara.\n
LOCATION:MR13
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