Annihilating Tate-Shafarevic groups
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About this item
| Description: |
Burns, D (KCL)
Thursday 30 July 2009, 15:30-16:30 |
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| Created: | 2009-08-05 12:40 | ||
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| Collection: | Non-Abelian Fundamental Groups in Arithmetic Geometry | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Burns, D (KCL) | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | We describe how main conjectures in non-commutative Iwasawa theory lead naturally to the (conjectural) construction of a family of explicit annihilators of the Bloch-Kato-Tate-Shafarevic Groups that are attached to a wide class of p-adic representations over non-abelian extensions of number fields. Concrete examples to be discussed include a natural non-abelian analogue of Stickelberger's Theorem (which is proved) and of the refinement of the Birch and Swinnerton-Dyer Conjecture due to Mazur and Tate. Parts of this talk represent joint work with James Barrett and Henri Johnston. |
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