12-23【何 伟】腾讯会议 吴文俊数学重点实验室代数学系列讲座

时间:2020-12-22

题目:Nontriviality of Heegner points


报告人:何伟, 北京雁栖湖应用数学研究院博士后


时间:2020年12月23日(星期三)16:00-17:00

 

腾讯会议 ID:194 920 653 (无需密码)


摘要:In this talk, we mainly care about the nontriviality of Heegner points via induction method and emphasize the 2-divisibility. We will introduce two induction structures. As an application, we use the first one to quadratic twists family of elliptic curves associated with tiling numbers (which are non-CM).  As a consequence of the Gross-Zagier formula, we show that the 2-part Birch and Swinnerton-Dyer conjecture for a certain family of elliptic curves holds.