







2018 KAIST Math. Colloquium 








Title 


Date 
20180329 


Host 



Place 
KAIST 




Abstract : Let A be an Abelian variety over a field K. The group A(K) of Krational points on A, known as the MordellWeil group of A, is known to be finitely generated if K is an algebraic number field of finite degree. It is known to be of infinite rank if K is a certain type of algebraic number field of infinite degree. If K is "too large", then A(K) contains a nontrivial divisible subgroup. I will discuss some reasonable conditions on K which allow A(K) to contain no nontrivial divisible subgroups, and give some examples of such K. 





