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SUMMARY:Francesc Castella (UCSB)
DTSTART:20211202T140000Z
DTEND:20211202T150000Z
DTSTAMP:20260423T024724Z
UID:UCDANT/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCDANT/19/">
 Iwasawa theory of elliptic curves at Eisenstein primes</a>\nby Francesc Ca
 stella (UCSB) as part of Dublin Algebra and Number Theory Seminar\n\n\nAbs
 tract\nIn an influential paper from 2000\, Greenberg and Vatsal introduced
  a method for studying the cyclotomic Iwasawa theory of elliptic curves E 
 over Q at Eisenstein primes (i.e.\, primes p for which E admits a rational
  p-isogeny). Combined with Kato's work\, their results had important impli
 cations towards the Birch and Swinnerton-Dyer conjecture in rank 0. In thi
 s talk\, I will try to convey the main ideas of their method\, and then mo
 ve on to explain recent joint work with G. Grossi and C. Skinner (partly i
 n progress) in which we develop the method of Greenberg-Vatsal in the anti
 -cyclotomic setting\, leading to new applications towards the Birch and Sw
 innerton-Dyer conjecture in rank 1.\n
LOCATION:https://researchseminars.org/talk/UCDANT/19/
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