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CATEGORIES:Number Theory Seminar
SUMMARY:On a generalization of Perrin-Riou's conjecture on
Kato's zeta elements - Takamichi Sano (Osaka City
University and King's College London)
DTSTART;TZID=Europe/London:20200211T143000
DTEND;TZID=Europe/London:20200211T153000
UID:TALK136612AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/136612
DESCRIPTION:In 1993\, Perrin-Riou proposed a conjecture\, whic
h relates Kato's zeta elements for elliptic curves
with Heegner points. She showed that her conjectu
re implies the Mazur-Tate-Teitelbaum conjecture in
the rank one case\, by using a formula concerning
p-adic heights\, which was independently obtained
by Rubin. One can show that the Iwasawa main conj
ecture combined with Perrin-Riou's conjecture impl
ies the (p-part of the) Birch-Swinnerton-Dyer form
ula in the rank one case\, although this is not me
ntioned in Perrin-Riou's work. In this talk\, I wi
ll propose a generalization of Perrin-Riou's conje
cture by introducing a "Bockstein regulator" and g
eneralize the results above to elliptic curves of
arbitrary rank. This is joint work with D. Burns a
nd M. Kurihara.\n
LOCATION:MR13
CONTACT:Cong Xue
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