School of Mathematics Seminars and Lectures

`On the arithmetic of elliptic curves and Beilinson--Kato elements'

by Dr. Ashay Burungale (Caltech, USA)

Thursday, December 27, 2018 from to (Asia/Kolkata)
at AG-77
Description
Abstract - Let E be an elliptic curve over the rationals with conductor
N. We plan to describe certain `rank one' aspects of arithmetic of E and
the associated p-adic Beilinson--Kato elements (BK) for a prime p. This
includes proof of Perrin-Riou conjecture for BK (in the case (p,2N)=1) and
a (new) proof of a theorem of Gross--Zagier, Kolyvagin. Joint with
Christopher Skinner and Ye Tian.