ACADEMIC ACTIVITY
Lectures & Talks
2019 Fall POSTECH PMI Number Theory Seminar
2019
WRITER
sugarless
DATE
2019-10-16 17:41
HIT
1328
Place: 404 Math building
Title : Structure of some arithmetic cohomology groups over $mathbb{Z}_p$-extensions
Abstract : We will study the $Lambda$-module structure of the Mordell-Weil, Selmer, and Tate-Shafarevich groups of an abelian variety over $mathbb{Z}_p$-extensions.
If time permits, we will try to classify all the cases when E($L_{infty}$) [p^{infty}] is finite where L is a finite extension of $mathbb{Q}_p$ for some odd prime p, $L_{infty}$ is a $mathbb{Z}_p$-extension of L and E is an elliptic curve defined over L.