Torsion points of abelian varieties over torsion fields

：王溪源（俄亥俄州州立大学）
：2023-05-02 11:00
：Zoom会议ID：968 0121 1012（密码：111111）

报告人：王溪源（俄亥俄州州立大学）

时  间：2023年5月2日上午11:00

地  点：Zoom会议ID：968 0121 1012（密码：111111）

内容摘要:

Let A be an abelian variety defined over a number field K. The well-known Mordell-Weil theorem states that for any finite extension L/K, the torsion subgroup of A(K) is finite. However, over the algebraic closure Kalg, the torsion subgroup of A(Kalg) is infinite. Therefore, a natural question arises: does the finiteness property of the torsion subgroup of A(L) hold for various infinite algebraic extensions L/K? In this talk, we will explore this question in the context where L is the "torsion field" of a different abelian variety. This is joint work with Jeff Achter and Lian Duan. If time permits, we will also formulate this question in a much more general setting and try to ask some new questions.

个人简介：

王溪源，俄亥俄州州立大学博士后，博士毕业于约翰霍普金斯大学。主要研究方向为算术代数几何, 研究成果发表或已被接受于 Mathematical Research Letters, Trans. Amer. Math. Soc.等国际数学期刊。

联系人：易少云