- Organizer
- Daniel Gulotta
- Location and time
- Friday 3-4:30pm in CDS 324.

We will study *p*-adic geometry and its applications to the
local Langlands correspondence, roughly following the Berkeley
lectures.

- [FS] L. Fargues and P. Scholze, Geometrization of the local Langlands correspondence
- [K] K. Kedlaya, Sheaves, stacks, and shtukas
- [Sta] Stacks Project
- [SW] P. Scholze and J. Weinstein, Berkeley
lectures on
*p*-adic geometry - [V] J. Voight, Introduction to algebraic stacks
- [W1] J. Weinstein, Arizona Winter School 2017: Adic spaces
- [W2] J. Weinstein, Shtukas and the Langlands program: a bird’s eye view

- R. Huber, Continuous valuations
- R. Huber, A generalization of formal schemes and rigid analytic varieties
- R. Huber, Étale cohomology of rigid analytic varieties and adic spaces
- P. Scholze, Étale cohomology of diamonds
- T. Wedhorn, The local Langlands correspondence for GL(n) over p-adic fields
- T. Wedhorn, Adic Spaces
- Geometrization of the Local Langlands program (Montreal conference notes by Tony Feng)
- Geometrization of the Local Langlands correspondence (lectures by Laurent Fargues, notes by Sean Howe)

Date | Speaker | Topic | References |
---|---|---|---|

Feb 10 | Dan | Adic spaces | [SW] 2, [W1] 1.1-1.5 |

Feb 17 | Zheng | Adic spaces | [SW] 2.3, 3, [W1] 1.6-1.8 |

Feb 24 | John | Adic spaces | [SW] 4, 5.2, [W1] 1.9 |

Mar 3 | Jacksyn | Perfectoid rings | [SW] 6 |

Mar 24 | Alice | Perfectoid spaces | [SW] 7, [W1] 2.4 |

Mar 31 | Zecheng | Diamonds | [SW] 8, 9.4, [W1] 3.2-3.4 |

Apr 7^{*} |
Meng | Diamonds | [SW] 10, [W1] 3.4-3.5 |

Apr 14 | Jacksyn | Local Langlands | [W2] 1, 2.1-2.2, [SW] I |

Apr 21 | Vijay | Fargues-Fontaine curve | [SW] 11.2-11.3, 13.5, [W1] 2.5, 4.2, [FS] I.3, [W2] 2.4, 3.2-3.3, [K] 3 |

Apr 28 | Jared | Stacks, Bun_{G} |
[V], [Sta] 072H, [FS] I.2, I.4 |

May 5 | Dan | Geometrization of local Langlands | [FS] I |

^{*} Time and location change: 3:30pm in Harvard Science
Center 112