Speaker: Jaehoon Lee (이재훈)
Time: Aug. 27 (Tue), 2019, 11:00-12:00 and 14:00-15:00.
Place: 319

Title: $p^{\infty}$-torsion subgroups of elliptic curves over $\mathbb{Z}_{p}$-extensions

Abstract: Let $L$ be a finite extension of $Q_l$ for some odd prime $l$ and let $L_{\infty}$ be a $Z_p$-extension of $L$ for some prime $p$. For an elliptic curve $E$ over $L$, we (almost) 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.