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SUMMARY:Annihilating tate-shafarevic groups - Burns\, D (KCL)
DTSTART:20090730T143000Z
DTEND:20090730T153000Z
UID:TALK19268@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We describe how main conjectures in non-commutative Iwasawa th
 eory lead naturally to the (conjectural) construction of a family of expli
 cit annihilators of the Bloch-Kato-Tate-Shafarevic Groups that are attache
 d to a wide class of p-adic representations over non-abelian extensions of
  number fields. Concrete examples to be discussed include a natural non-ab
 elian analogue of Stickelberger's Theorem (which is proved) and of the ref
 inement of the Birch and Swinnerton-Dyer Conjecture due to Mazur and Tate.
  Parts of this talk represent joint work with James Barrett and Henri John
 ston. 
LOCATION:Seminar Room 1\, Newton Institute
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