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Number Theory
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Yukako Kezuka, PMA 12.166: Non-commutative Iwasawa theory of abelian varieties
Tuesday, February 13, 2024, 02:00pm - 03:00pm
We consider an abelian variety A defined over various base fields F, and discuss its arithmetic over the cyclotomic Z_p-extension and more general p-adic Lie extensions. After reviewing some known results over number fields, we shift our focus to the case of global function fields. In this context, we compare the arithmetic of A over different p-adic Lie extensions without assuming the finiteness of the Selmer group of A over the base field F.
Location: PMA 12.166

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