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19214611 Masterseminar Algebra - Étale cohomology

Summer Semester 2026

Dozenten: Prof. Dr. Holger Reich


  • Time and place:  Mondays,  2pm -- 4pm, SR 120, Arnimallee 3.

  • 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

DateTitleSpeaker
13.04.  - Dies Academicus - ---
20.04. Organization and overview Holger Reich
27.04. Talk 1:  N.N.
04.05. Talk 2:  N.N.
11.05. Talk 3: N.N.
18.05. Talk 4:  N.N.
25.05. Pfingstmontag / Whit Monday ---
01.06. Talk 5:  N.N.
08.06. Talk 6:  N.N.
15.06. Talk 7:  N.N.
22.06. Talk 8:  N.N.
29.06. Talk 9:  N.N.
06.07. Talk 10:  N.N.
13.07. Talk 11:  N.N.

Literature:

Our main source will be a very detailed set of lecture notes by: