Lectures & Talks

Type Seminar 2019.10.16_2019 Fall POSTECH PMI Number Theory Seminar Jaehoon Lee (KAIST) 2019.10.16 Speaker: Jaehoon Lee (KAIST) Time: 2019.10.16 17:00 - 18:30 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.