An arithmetic analogue of the parity conjecture
Holly Green (University College London)
Abstract: I will present a new method to compute the parity of the rank of an elliptic curve and will comment on how this construction generalises to Jacobians of curves. This method involves studying the local arithmetic attached to covers of the curve. In addition, I will discuss applications to the Birch and Swinnerton-Dyer conjecture, including a new proof of the parity conjecture for elliptic curves. This is joint work with Vladimir Dokchitser, Alexandros Konstantinou, CĂ©line Maistret and Adam Morgan.
number theory
Audience: researchers in the topic
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Organizers: | Caleb Springer*, Luis Garcia* |
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