19214611 Masterseminar Algebra - Étale cohomology
- FU-Students should register via Campus Management.
- Non-FU-students should register via MyCampus/Whiteboard.
Summer Semester 2026
Dozenten: Prof. Dr. Holger Reich
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Time and place: Mondays, 2pm -- 4pm, SR 120, Arnimallee 3.
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Leistungsnachweis/criteria for proof of performance:
Grade and credit points will be awarded based on a presentation and written summary.
Prerequisites: Algebra I, II and III.
Content: Étale cohomology for schemes was introduced by Grothendieck in order to prove the Weil conjectures. With finite coefficients the étale cohomology groups behave a lot like singular cohomology groups behave for manifolds or complex analytic spaces. Developing the theory of étale cohomology is somewhat involved and performing calculations is surprisingly complicated. In this seminar we want to learn some basics about étale cohomology. Analogies with singular cohomology and the case of curves will be guiding principles.
Talks
| Date | Title | Speaker |
|---|---|---|
| 13.04. | - Dies Academicus - | --- |
| 20.04. | Organization and overview | Holger Reich |
| 27.04. | Talk 1: Étale maps | Holger Reich |
| 04.05. | Talk 2: Complex analytic spaces | Laura Weyers |
| 11.05. | Talk 3: Analytification | Holger Reich |
| 18.05. | Talk 4: Sheaf cohomology I | Elia Auer |
| 25.05. | Pfingstmontag / Whit Monday | --- |
| 01.06. | Talk 5: Sheaf cohomology II | Yaowei Zhang |
| 08.06. | Talk 6: Curves | Koen Bresters |
| 15.06. | Talk 7: Topoi I | Frederik Mattow |
| 22.06. | Talk 8: Topoi II | Chris Huggle |
| 06.07. | Talk 9: Descent and torsors | Anna Buhné |
| 13.07. | Talk 10: Proper base change I | Fawzy Naguib |
Literature:
Our main source will be a very detailed set of lecture notes by:
- Johannes Anschütz: Lecture notes on étale cohomology, 2023