Morningside Center of Mathematics

Chinese Academy of Sciences

中国科学院晨兴数学中心

Morningside Center of Mathematics

Chinese Academy of Sciences

Title: | Non-vanishing of central L-values of elliptic curves and Iwasawa theory I |

Speaker: | Prof. John Coates (Cambridge University) |

Time: | 2018-5-17, 10:00-11:30 |

Place: | N818 |

Abstract: | The first part of these lectures will explain joint work with Yongxiong Li, which shows how one can prove a strong form of a non-vanishing theorem of David Rohrlich for central L-values of Gross elliptic curves attached to K=\mathbb{Q} (\sqrt(-q)), where q is any prime \equiv 7 mod 16. The proof uses Iwasawa theory for the prime p=2. In the second part of the lectures, I hope to say a little about possible analogues of these arguments for elliptic curves with complex multiplication for which 2 is a potentially supersingular prime. |

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