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Date | 2023-06-02 |
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Speaker | 김찬호 |

Dept. | 고등과학원 |

Room | 27-325 |

Time | 16:00-17:00 |

We discuss an explicit formula for the structure of Bloch–Kato Selmer groups of the central critical twist of modular forms if the analytic rank is ≤ 1 or the Iwasawa main conjecture localized at the augmentation ideal holds. This formula reveals more refined arithmetic information than the p-part of the Tamagawa number conjecture for motives of modular forms and reduces the corresponding Beilinson–Bloch–Kato conjecture to a purely analytic statement. We do not impose any good ordinary or Fontaine–Laffaille assumption.

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