Winter 2010

Math 582e: Galois Cohomology Taught by William Stein on MWF at 12:30pm in Padelford C401. Office Hours: 4:30-6:00pm on Tuesdays Math 582e Wiki Lectures Homework Assignments Final Projects Syllabus Mailing List

References

• Milne: Chapter 1 of Arithmetic Duality Theorems, 2nd edition, which is completely freely available as a PDF at the above link or here.
• Tate: Galois Cohomology
• Washington: Galois Cohomology
• Cassels, Frohlich: Algebraic Number Theory, especially chapters 4 and 5
• Lang, Tate: Principal Homogeneous Spaces over Abelian Varieties [pdf]
• Mazur: Notes on Etale cohomology of number fields [pdf]
• Serre: Galois Cohomology
• Chapter 1 of Galois Cohomology of Elliptic Curves by Coates and Sujatha, which may be unattainable, in which case I have a copy in my office.
• Chapter XX of Lang's Algebra
• For explicit computer computation in some cases, see this discussion from Simon King.