Mathematisches Institut der Universität Bonn

V5A3: Étale cohomology - winter term 2022/23

Contact:
Dr. Johannes Anschütz
Endenicher Allee 60 · Zimmer 4.027
Tel.: 0228-73-62216
E-mail: ja (ergänze @math.uni-bonn.de)

Time and Place

Monday, 12-14h, Zeichensaal (Wegelerstr. 3)
Thursday, 14-16h, SR 0.006
First Lecture: 13.10.2022.

Content of the course

This course will develop the étale cohomology of schemes. As a motivation sheaf cohomology of topological spaces will be discussed as well.

Prerequisites

Algebraic geometry and homological algebra, for example as discussed in the lecture Algebraic Geometry II from summer term 2022.

Lecture notes

Hopefully lecture notes will be prepaired in parallel to the course.

Literature

• Deligne, SGA 4 1/2.
• Tamme, Introduction to étale cohomology.
• Milne, Étale cohomology.

More literature will be suggested during the semester via the lecture notes.

Discussion session

Starting on 20.12.2022 there will be a discussion session each tuesday, 12-14h, N0.003, which is held by Vladyslav Shram.

Exams

Contact me during the course if you want to take an oral exams. The oral examinations will take place in early february (6.2.-8.2.) or late march (22.3.-24.3.).

Last modified: July 2022, Johannes Anschütz