题目：Unboundedness of Tate-Shafarevich Groups in Fixed Cyclic Extensions

报告人：欧阳毅 教授 （中国科学技术大学）

时间：2023年6月2日 14:00-15:00

地点：致远楼108室

摘要：In this talk we prove two unboundedness results about the Tate-Shafarevich groups of abelian varieties in a fixed nontrivial cyclic extension L/K of global fields, firstly in the case that K is a number field and the abelian varieties are elliptic curves, secondly in the case that K is a global field, [L : K] is a 2-power and the abelian varieties are principally polarized. This is a joint work with Jianfeng Xie.

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