The MathNet Korea
Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

한국고등과학원 세미나
Title $p^{\infty}$-torsion subgroups of elliptic curves over $\mathbb{Z}_p$-extensions
Date 2018-12-27
Speaker Jaehoon Lee(UCLA)
Sponsors 2018-12-27
Host KIAS
Place 1424
Abstract Let L be a finite extension of $\mathbb{Q}_l$ for some odd prime l and let $L_{\infty}$ be a $\mathbb{Z}_p$-extension of L for some odd prime p. For an elliptic curve E over L, we completely classify all the cases when E($L_{\infty}$) [p^{\infty}] is finite. In the case when this group is infinite, we study its $\Lambda$-module structure and prove the pseudo-cyclicity.