Notes

Étale Cohomology

We will talk about the following topics. Please contact me if you are interested in giving a talk.

• Introduction; flat, smooth, and unramified morphism

• Étale morphism and étale fundamental group

• Étale site and étale topos

• Étale cohomology

• Descent

• Brauer group

• Computation of étale cohomology

• Proper base change theorem

• Smooth base change theorem

• ...

Notes: 

• Talk 1

• Talk 2

• Talk 3

• Talk 4

• Talk 5

• Talk 6

• Talk 7

• Talk 8

• Talk 9

References