On the 2-rank of the ideal class group of cubic fields and its relation to 2-Selmer groups
Yukako Kezuka (Max Planck Institute for Mathematics)
Abstract: In this talk, I will introduce a family of elliptic curves with complex multiplication and explain what the conjecture of Birch and Swinnerton-Dyer says for these curves. I will study the 3-part of the conjecture, and present a non-triviality condition relating the 2-part of the ideal class group of certain cubic field extensions and the 2-Selmer group of the elliptic curves. This is joint work with Yongxiong Li.
number theory
Audience: researchers in the topic
Japan Europe Number Theory Exchange Seminar
Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.
Start for Fall 2021: 26th October
Organizers: | Henrik Bachmann*, Nils Matthes |
*contact for this listing |