A venue for invited and local speakers to present their research on topics surrounding algebraic geometry and number theory, broadly conceived. All meetings start at 16:00 sharp and end at 17:00. Some meetings are held in the subterranean room -101, others are held online. We expect to broadcast most meetings over Zoom at the URL https://us02web.zoom.us/j/84396320442

## This Week

#### David Corwin (*BGU*)

Bloch-Kato Groups and Iwasawa Theory in Chabauty-Kim

Bloch-Kato Groups and Iwasawa Theory in Chabauty-Kim

We explain different kinds of Selmer groups, which are subgroups of Galois cohomology, including Bloch-Kato, strict, and Greenberg Selmer groups. We state part of the Bloch-Kato conjectures and describe a bound joint with A. Betts and M. Leonhardt on the number of rational points on a general higher genus curve, conditional on the Bloch-Kato conjectures. Finally, we explain how to use some Iwasawa theory, specifically Kato’s Euler system and a control theorem of Ochiai, to deduce specific cases of Bloch-Kato associated with elliptic curves.

## 2021–22–B meetings

### Upcoming Meetings

Date |
Title |
Speaker |
Abstract |
---|---|---|---|

May 25 | Bloch-Kato Groups and Iwasawa Theory in Chabauty-KimOnline | David Corwin (BGU) | |

Jun 1 | TBAOnline | Daniil Rudenko (online meeting) (Chicago) | |

Jun 8 | TBAOnline | Daniil Rudenko (online meeting) (Chicago) | |

Jun 15 | Arakelov motivic cohomologyOnline | Jakob Scholbach (online meeting) (Munster) | |

Jun 22 | TBAOnline | Qirui Li (online meeting) (Bonn) | |

Jun 29 | TBAOnline | Ishai Dan-Cohen (BGU) |

### Past Meetings

Date |
Title |
Speaker |
Abstract |
---|---|---|---|

Mar 30 | Isogenous (non-)hyperelliptic CM Jacobians: constructions, results, and Shimura class groups. (-101) | Bogdan Adrian Dina (HUJI) | |

Apr 6 | TBA | No talk | |

Apr 13 | TBA | No meeting | |

Apr 20 | TBA | No meeting | |

Apr 27 | A Constructive Approach to Derived Algebra, online meetingOnline | Amnon Yekutieli (BGU) | |

May 4 | TBA | No meeting | |

May 11 | Introduction to Diophantine approximation and a generalisation of Roth’s theorem | Paolo Dolce (BGU) | |

May 18 | Ribet’s lemma for GL_2 modulo prime powers | Amit Ophir (HUJI) |

Seminar run by Dr. Ishai Dan-Cohen