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Ben Howard : Periods of CM abelian varieties (Oct 5, 2016 1:25 PM)

Colmez conjectured a formula relating periods of abelian varieties with complex multiplication to derivatives of Artin L-functions. I’ll explain how to prove an averaged version of Colmez’s conjectural formula, using the arithmetic of integral models of orthogonal Shimura varieties. This is joint work with F. Andreatta, E. Goren, and K. Madapusi Pera.

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