Topics in Galois cohomology
Cours de Jean-Pierre Serre, no. 11 (1990) , 124 p. 
@book{CJPS_1990__11_,
     author = {Serre, Jean-Pierre},
     title = {Topics in {Galois} cohomology},
     series = {Cours de Jean-Pierre Serre},
     number = {11},
     year = {1990},
     language = {en},
     url = {http://www.numdam.org/item/CJPS_1990__11_/}
}
TY  - BOOK
AU  - Serre, Jean-Pierre
TI  - Topics in Galois cohomology
T3  - Cours de Jean-Pierre Serre
PY  - 1990
IS  - 11
UR  - http://www.numdam.org/item/CJPS_1990__11_/
LA  - en
ID  - CJPS_1990__11_
ER  - 
%0 Book
%A Serre, Jean-Pierre
%T Topics in Galois cohomology
%S Cours de Jean-Pierre Serre
%D 1990
%N 11
%U http://www.numdam.org/item/CJPS_1990__11_/
%G en
%F CJPS_1990__11_
Serre, Jean-Pierre. Topics in Galois cohomology. Cours de Jean-Pierre Serre, no. 11 (1990), Hagedorn, Thomas (red.), 124 p. http://numdam.org/item/CJPS_1990__11_/

Sommaire

Galois cohomology, Brauer group p. 1-1
Kummer theory, cup-products p. 2-1
Quadratic forms : Stiefel Whitney classes p. 2-4
Twists δ 1 , δ 2 ; O ˜(q) p. 3-1
Proof of the twist formulae p. 4-1
G 2 - entertainment p. 4-4
Orthogonal group in characteristic 2 p. 5-1
Witt simplification theorem p. 5-2
Springer theorem p. 5-3
Trd for simple algebras p. 6-1
Milnor's conjectures p. 6-4
Trace form for an étale algebra p. 7-1
Klein quintic extensions p. 9-1
Bayer-Lenstra theory p. 10-5
SNB's existence criteria p. 12-1
Cohomological criteria p. 13-1
Negligible classes p. 14-1
Pfister forms and applications to SNB's p. 15-1
The quaternion case p. 16-1
Galois cohomology of function fields p. 16-6
Spectral sequence of group extensions p. 17-1
Local cohomology p. 17-3
Cohomology of k ( T ) p. 19-3
Mestre's A n extensions p. 20-1
Proof of the residue formula p. 21-1
Killing elements of Br 2 k ( t ) p. 22-1
Specialization of elements of Br 2 ℚ ( T 1 , ... , T n ) p. 23-2
Analytic estimates p. 25-1
An example of Swinnerton-Dyer p. 25-2