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SUMMARY:Giada Grossi (Paris 13)
DTSTART:20210408T130000Z
DTEND:20210408T140000Z
DTSTAMP:20260423T024730Z
UID:UCDANT/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCDANT/14/">
 The p-part of BSD for rational elliptic curves at Eisenstein primes</a>\nb
 y Giada Grossi (Paris 13) as part of Dublin Algebra and Number Theory Semi
 nar\n\n\nAbstract\nLet $E$ be an elliptic curve over the rationals and $p$
  an odd prime such that E admits a rational $p$-isogeny satisfying some as
 sumptions. In joint work with F. Castella\, J. Lee\, and C. Skinner\, we s
 tudy the anticyclotomic Iwasawa theory for $E/K$ for some suitable quadrat
 ic imaginary field $K$. I will give a general introduction to Iwasawa theo
 ry and to how it can be used to obtain results about the Birch--Swinnerton
 -Dyer conjecture. In particular\, I will talk about how our results\, comb
 ined with complex and $p$-adic Gross-Zagier formulae\, allow us to prove a
  $p$-converse to the theorem of Gross--Zagier and Kolyvagin and the $p$-pa
 rt of the Birch--Swinnerton-Dyer formula in analytic rank 1 for elliptic c
 urves as above.\n
LOCATION:https://researchseminars.org/talk/UCDANT/14/
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