BUNTES: p-adic Hodge Theory

2024 Spring

Spring 2024 BUNTES will cover foundations and topics in
p-adic Hodge Theory (pHT). Meetings will occur in-person at
Boston University's CDS building.

The first half of the semester will be dedicated to
the motivation, formulation, and constructions in
the foundations of pHT. This includes the notions of
Hodge-Tate representations, formalisms of admissible
representations, and the various period rings along with
their additional structures. We will largely follow the
first two parts of Brinon and Conrad's notes linked below.

The remainder of the semester will be dedicated to either
integral pHT, the formalism of phi-Gamma modules, or
almost mathematics. The decision will be made later depending
on the organizer and participants' interest.

The main references will be Brinon and Conrad's notes
[BrCo],
though speakers may elect to lean on one of the plethora of
other specialized notes available online.

Meeting Times: Thursdays 2:30 PM - 3:30 PM

Location: CDS 524

Date | Topic | Speaker | Reference |
---|---|---|---|

Jan 25 | Motivation and Hodge-Tate Representations | John | BrCo Sec 1,2 |

Feb 1 | Etale phi-modules and Examples | Kate | BrCo Sec 3 |

Feb 8 | Formalism of Admissible Representations and Examples | Jacksyn | BrCo Sec 5 |

Feb 15 | de Rham Period Ring and de Rham Representations | James | BrCo Sec 4,6 |

Feb 22 | Filtered Isocrystals | Xinyu | BrCo Sec 7 |

Feb 29 | Crystalline Representations | Zecheng | TBD |

Mar 21 | Semistable Representations | TBD | TBD |

TBD | More to come ... | TBD | TBD |