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SUMMARY:Sinnott's proof of Washington's theorem\, and generalisations - Ja
 ck Lamplugh\, University of Cambridge
DTSTART:20130208T140000Z
DTEND:20130208T150000Z
UID:TALK42732@talks.cam.ac.uk
CONTACT:Joanna Fawcett
DESCRIPTION:In 1978 Washington proved that for any finite abelian extensio
 n k of the rationals\, and any prime p\, that if k(n) denotes the n-th lay
 er of the cyclotomic Zp extension of k\, then for all primes q different f
 rom p\, the q-part of the ideal class group of k(n) stabilises as n tends 
 to infinity. In 1987 Sinnott gave a beautiful proof of this theorem\, whic
 h I shall discuss\, and hopefully detail how one can generalise this proof
  to deduce results about Selmer groups of CM elliptic curves and ideal cla
 ss groups over non-cyclotomic Zp extensions.\n
LOCATION:MR4
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