The schedule for the seminar.

The following table lists all the lectures and contains notes for some of them. At the moment, these notes are somewhat informal. Eventually there should be notes for all lectures, and they should be a bit more polished.

Fall quarter | ||||

1 | Oct 2 | Brian | Galois representations from classical modular forms | |

2 | Oct 9 | Akshay | Serre's conjecture and more | |

3 | Oct 16 | Mok | Galois deformation rings | |

4 | Oct 23 | Brian | Generic fibers of deformation rings | |

5 | Oct 30 | Brandon | Schlessinger's criterion and deformation conditions | |

6 | Nov 6 | Samit | Presentations of deformation rings | |

7 | Nov 13 | Rebecca | Theorems from Galois cohomology | |

8 | Nov 20 | Burcu | Hecke algebras and Galois representations | |

Winter quarter | ||||

9 | Jan 8 | Marty | Representations of p-adic groups | |

10 | Jan 22/29 | Denis | Automorphic representations | |

11 | Jan 29 | Andrew | Hecke characters and Galois characters | |

12 | Feb 5 | Andrew | Modular forms on quaternion algebras | |

13 | Feb 5 | Mike | Central simple algebras | |

14 | Feb 12 | Akshay | The Jacquet-Langlands correspondence | |

15 | Feb 19 | Alex | Automorphic Galois representations and base change | |

16 | Feb 26 | Andrew | Review of representation theory | |

17 | Mar 5 | Mok | Modular forms on quaternion algebras | |

18 | Mar 12 | Andrew | Overview of the Taylor-Wiles method | |

Spring quarter | ||||

19 | Apr 1 | Simon | Review of Galois deformation theory | |

20 | Apr 8 | Rebecca | Structure of deformation rings away from p | |

21 | Apr 15/22 | Brian | Structure of deformation rings at p | |

22 | Apr 29 | Akshay | Level raising and lowering | |

23 | May 6 | Andrew | Local properties of modular Galois representations | |

24 | May 13 | Mike | Taylor-Wiles primes | |

25 | May 20 | Sam | Congruences at Taylor-Wiles primes | |

26 | May 25 | Andrew | Potential modularity and applications | |

27 | May 27 | Brandon | The patching argument |

Sam took notes for most of the Fall quarter. These have been broken up to form some of the above files. His original files are here: [pdf] [tex]

Last updated May 27, 2010