CRM: Centro De Giorgi
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Fundamental Groups in Arithmetic and Algebraic Geometry

Arithmetic of abelian varieties over function fields and an application to anabelian geometry

speaker: Akio Tamagawa (RIMS, Kyoto University )

abstract: We investigate certain (hopefully new) arithmetic aspects of abelian varieties defined over function fields of curves over finitely generated fields. Among other things, we introduce discrete versions of Selmer groups and Tate-Shafarevich groups, which are finitely generated abelian groups. We also discuss an application of our investigation to anabelian geometry. (joint work with Mohamed Saidi)

Tue 17 Dec, 9:45 - 10:45, Aula Dini
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