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SUMMARY:Francesc Castella (UC Santa Barbara)
DTSTART:20220428T213000Z
DTEND:20220428T223000Z
DTSTAMP:20260423T005828Z
UID:JNTS/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/45/">On
  Mazur's main conjecture at Eisenstein primes</a>\nby Francesc Castella (U
 C Santa Barbara) as part of Columbia CUNY NYU number theory seminar\n\n\nA
 bstract\nLet $E$ be a rational elliptic curve\, and $p$ an odd prime of go
 od ordinary reduction for $E.$ In 1972\, Mazur formulated an analogue of I
 wasawa’s main conjecture for the $p$-primary Selmer group of $E$ over th
 e cyclotomic $\\mathbb Z_p$-extension of $\\mathbb Q$. In this talk I’ll
  report on recent progress towards Mazur’s main conjecture (joint with G
 iada Grossi and Chris Skinner\, building on an earlier joint work also wit
 h Jaehoon Lee) in the case where $E$ admits a rational $p$-isogeny.\n
LOCATION:https://researchseminars.org/talk/JNTS/45/
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