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
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. |