Fiches de cours

Caution, these contents corresponds to the coursebooks of last year


Étale cohomology

MATH-653

Lecturer(s) :

Patakfalvi Zsolt

Language:

English

Frequency

Only this year

Remarque

Next time: Spring 2020

Summary

This is a course on étale cohomology, a cohomology theory for algebraic varieties that is heavily used in algebraic geometry, number theory and representation theory as well.

Content

The goal of the course is to cover the material of Milne¿s lecture notes on Étale cohomology, including the proof of the Weil conjectures. In particular, the course will require a significant reading of the notes at home and a bit of exercise solving.

Keywords

algebraic geometry, positive characteristic

Learning Prerequisites

Required courses

Algebraic geometry (masters course), Scheme theory (PhD course), Sheaf cohomology (PhD course)

Learning Outcomes

By the end of the course, the student must be able to:

Resources

Bibliography

provided course notes

In the programs

  • Mathematics (edoc), 2019-2020
    • Semester
    • Exam form
      Oral presentation
    • Credits
      3
    • Subject examined
      Étale cohomology
    • Number of places
      20
    • Lecture
      28 Hour(s)
    • Practical work
      28 Hour(s)

Reference week

Lecture
Exercise, TP
Project, other

legend

  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German