Wojciech Gajda
 
Title: Orders of reductions of non torsion points for abelian varieties over number fields

Abstract: 
We will discuss an analogue for abelian varieties over number fields of a classical theorem 
of A.Bang from 1886 on orders of reductions of elements of the multiplicative group. 
Namely, we prove that, for a point of infinite order in the Mordell-Weil group, 
which generates a Zariski dense subgroup, most natural numbers in an appropriate sense 
occur as the order of the point modulo some prime ideal.