University of Cambridge > Talks.cam > Number Theory Seminar > On a generalization of Perrin-Riou's conjecture on Kato's zeta elements

On a generalization of Perrin-Riou's conjecture on Kato's zeta elements

Add to your list(s) Download to your calendar using vCal

  • UserTakamichi Sano (Osaka City University and King's College London)
  • ClockTuesday 11 February 2020, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Cong Xue.

In 1993, Perrin-Riou proposed a conjecture, which relates Kato’s zeta elements for elliptic curves with Heegner points. She showed that her conjecture 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 conjecture combined with Perrin-Riou’s conjecture implies the (p-part of the) Birch-Swinnerton-Dyer formula in the rank one case, although this is not mentioned in Perrin-Riou’s work. In this talk, I will propose a generalization of Perrin-Riou’s conjecture by introducing a “Bockstein regulator” and generalize the results above to elliptic curves of arbitrary rank. This is joint work with D. Burns and M. Kurihara.

This talk is part of the Number Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity