[2018 KAIST Math. Colloquium ]

** Date: ** 2018-03-29

**Speaker :** Yuichiro Taguchi (Department of Mathematics, Tokyo Institute of Tech)

**Abstract : **Let A be an Abelian variety over a field K. The group A(K) of K-rational points on A, known as the Mordell-Weil 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 non-trivial divisible subgroup. I will discuss some reasonable conditions on K which allow A(K) to contain no non-trivial divisible subgroups, and give some examples of such K.

**VOD : **[VIDEO] [YOUTUBE]

Information Center for Mathematical Sciences KAIST

34141 대전광역시 유성구 대학로 291 (구성동373-1)

한국과학기술원(KAIST) 수리과학정보센터

전화 042-350-8196

e-mail : mathnet@mathnet.or.kr

Copyright (C) 2018. ICMS All Rights Reserved.

34141 대전광역시 유성구 대학로 291 (구성동373-1)

한국과학기술원(KAIST) 수리과학정보센터

전화 042-350-8196

e-mail : mathnet@mathnet.or.kr

Copyright (C) 2018. ICMS All Rights Reserved.