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Parity of ranks of elliptic curves I

Dokchitser, V (Cambridge)
Tuesday 15 December 2009, 14:00-15:00

Seminar Room 1, Newton Institute


I will explain why both the Birch-Swinnerton-Dyer conjecture and the Shafarevich-Tate conjecture imply that the parity of the rank of an elliptic curve over a number field can be expressed as a sum of (computable) local invariants, and describe some arithmetic consequences.


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