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Parity of ranks of elliptic curves II

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Non-Abelian Fundamental Groups in Arithmetic Geometry

In a follow-up to Vladimir’s talk, I will discuss local formulae relating root numbers of elliptic curves to their Tamagawa numbers and periods. In particular, I will explain the proof of the parity conjecture for p-infinity Selmer ranks of elliptic curves with a p-isogeny and related results.

This talk is part of the Isaac Newton Institute Seminar Series series.

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