Sinnott's proof of Washington's theorem, and generalisations
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 Jack Lamplugh, University of Cambridge
 Friday 08 February 2013, 14:0015:00
 MR4.
If you have a question about this talk, please contact Joanna Fawcett.
In 1978 Washington proved that for any finite abelian extension k of the rationals, and any prime p, that if k(n) denotes the nth layer of the cyclotomic Zp extension of k, then for all primes q different from p, the qpart of the ideal class group of k(n) stabilises as n tends to infinity. In 1987 Sinnott gave a beautiful proof of this theorem, which I shall discuss, and hopefully detail how one can generalise this proof to deduce results about Selmer groups of CM elliptic curves and ideal class groups over noncyclotomic Zp extensions.
This talk is part of the Junior Algebra and Number Theory seminar series.
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