School of Mathematics Seminars and Lectures

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

Name: `On the arithmetic of elliptic curves and Beilinson--Kato elements'
Start: 2018-12-27T11:30:00+05:30
End: 2018-12-27T12:45:00+05:30
Location: No location set

by Dr Ashay Burungale (Caltech, USA)

Thursday 27 Dec 2018, 11:30 → 12:45 Asia/Kolkata

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.

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

by Dr Ashay Burungale (Caltech, USA)

AG-77