This semester I am teaching Étale cohomology 1.
Time/Place:
Lectures: Tuesdays and Thursdays 11:00-13:00, Mathematikon, SR 3.
Exercises (Christian Dahlhausen): Thursdays 14:00 - 16:00, Mathematikon SR4.
Program:
Étale morphisms and henselian rings
Grothendieck topologies, étale cohomology and the étale fundamental group
Constructible sheaves
Base change and six operations
The script and exercise sheets will be published on MaMpf
Bibliography:
These are some recommended course notes:
Günther Tamme "Introduction to étale cohomology", Springer 1994 (not available online, but available at the library)
Milne "Lectures on étale cohomology" (available online)
The theory was first published in the SGA4 (in French), now available online typed by Y. Lazlo:
Another classical reference is
Milne "Étale cohomology", Princeton Univ. Press 1980 (not available online, but available at the library)
A more modern reference is:
Heidelberg:
WS 2024: Lecture and exercises of K-theory
SS 2025: Lecture of Galois Cohomology 2
Zürich:
FS 2021: Exercises of Linear Algebra 2 (Lecture by J. Ayoub).
HS 2020: Exercises of Linear Algebra 1 (Lecture by J. Ayoub).
FS 2020: Seminar on GAGA: Algebraic and Analytic geometry.
HS2019:Exercises of Binary quadratic forms and quadratic number fields (Lecture by G. Wüstholz).
FS2019: Exercises of Plane algebraic curves (Lecture by L. Mantovani and D. Park).
HS2018: Exercises of Linear Algebra 1 (Lecture by A. Kresch).
FS2018: Seminar on Representation theory of finite groups (with A. Navarro Garamedia).
HS2017: Exercises of Algebra (Lecture by J. Ayoub).