The full BSD conjecture for a CM elliptic curve of analytic rank one at a supersingular prime (I)
Time: Mon, 5 Nov 2018, 15:20-16:55
Place: Lecture Hall, 3rd floor, Jin Chun Yuan West Building
Speaker: Jinzhao Pan (YMSC, Tsinghua University)
Abstract:
Let E be a CM elliptic curve defined over rational numbers with analytic rank one. The full BSD conjecture for E at a good supersingular prime is proved by Kobayashi, based on previous works by Gross-Zagier, Rubin, Kolyvagin, Perrin-Riou, et al. In the first talk I’ll briefly introduce these works and some key ingredients in them, and the comparison to my work at a potentially supersingular prime joint with Ye Tian.