|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Sinnott's proof of Washington's theorem, and generalisations
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 n-th layer of the cyclotomic Zp extension of k, then for all primes q different from 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, 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 non-cyclotomic Zp extensions.
This talk is part of the Junior Algebra/Logic/Number Theory seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsjohn's list Palestinians in Israel: Segregation, Discrimination and Democracy UK~IRC Summit
Other talksSea monsters to sonar: mapping the Polar oceans Coffee&Cakes Cambridge stars: big ideas 2 Plenary Lecture 5: Neutral models on island chains: biodiversity measures, and the 'everything is everywhere' problem. Self-Organisation of Pluripotent Cells in the Mouse Embryo Responses of mesenchymal stromal cells to hypoxia