In the summer of 2019 I wanted to organize an informal student seminar
to learn étale cohomology.
The idea was to study the theory at the pace of a textbook or a course
but without going into the details of technical proofs.
That is why we followed quite closely
J. S. Milne’s notes
*Lectures on Étale Cohomology (v. 2.21)*.
Each meeting consisted of a student presenting on the blackboard
the material covered in a number of pages we had previously agreed on.
Everyone was supposed to read the notes before the meetings
and we tried to answer each other’s questions.
The format of the seminar was successful enough
to continue in autumn (with reduced frequency).

- Francesc Gispert.
- David Liliendfeldt.
- Reginald Lybbert.
- Óscar Rivero (from September on).

You can find the list of seminar talks next. Almost all titles below
correspond to one or two sections of the notes
*Lectures on Étale Cohomology (v. 2.21)*.

Date | Speaker | Title of the talk |
---|---|---|

14th Jun 2019 | Francesc | Motivation and first definitions |

21st Jun 2019 | Reginald | The étale fundamental group |

28th Jun 2019 | David | The étale site |

5th Jul 2019 | Francesc | Sheaves on the étale site I |

8th Jul 2019 | Francesc | Sheaves on the étale site II |

26th Jul 2019 | David | Spectral sequences |

29th Jul 2019 | Reginald | Čech cohomology |

9th Aug 2019 | Francesc | The cohomology of $\mathbb{G}_{\mathrm{m}}$ |

15th Aug 2019 | Reginald | Cohomology of curves |

22nd Aug 2019 | Francesc | Duality theorems on curves |

30th Aug 2019 | Francesc | Purity and the Gysin sequence |

19th Sep 2019 | Reginald | Proper base change and cohomology with compact supports |

2nd Oct 2019 | Óscar | $\ell$–adic sheaves and smooth base change |

30th Oct 2019 | Francesc | The comparison theorem and the Künneth formula |

20th Nov 2019 | David | The cycle map and Chern classes I |

27th Nov 2019 | David | The cycle map and Chern classes II |

4th Dec 2019 | Francesc | Poincaré duality and Lefschetz’s fixed-point theorem |