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BIMSA-YMSC Tsinghua Number Theory Seminar
Generalised Euler characteristics of Selmer groups for non-CM elliptic curves
Generalised Euler characteristics of Selmer groups for non-CM elliptic curves
Organizers
Hansheng Diao
, Yueke Hu
, Emmanuel Lecouturier
,
Cezar Lupu
Speaker
Yukako Kezuka
Time
Monday, December 25, 2023 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Abstract
We consider an elliptic curve E which does not admit complex multiplication, and discuss its arithmetic over the cyclotomic Z_p-extension and more general p-adic Lie extensions of various base fields F. After reviewing some known results over number fields, we shift our focus to the case of global function fields. In this context, we introduce an invariant which is defined without assuming the finiteness of the Selmer group of E over the base field F.