Visibility of Mordell-Weil Groups of Abelian Varieties
During the past few years, Barry Mazur, myself, and others
have studied visible subgroups of Shafarevich-Tate groups of abelian
varieties. Recently, I've been studying visibility of Mordell-Weil
groups of abelian varieties. In this talk, I will briefly review some
results about visibility of Shafarevich-Tate groups, then discuss what
I've been able to prove about their counterparts in the theory of
visibility of Mordell-Weil groups.