This fall, we will discuss the first few chapters of the book Cohomology of Number Fields by Neukirch, Schmidt and Wingberg. We do not have assigned speakers and the seminar will be in the form of free discussion.
Date
Title
Septemper 23
Organizational meeting
October 6
CH I. Section 2. Interpretations of H^0, H^1, H^2 and H^n and Tate cohomology
CH I. Section 4. Cup product
October 13
CH VI. Section 1. Cohomology of Additive Group
CH VI. Section 2. Hilbert's Satz 90
October 20
CH VI. Section 4. The Brauer Group
CH VI. Section 5. The Milnor K-Groups
CH VI. Section 6. Dimension of Fields
October 27
CH VII. Section 1. Cohomology of the Multiplicative Group
November 3
CH VII. Section 1. Cohomology of the Multiplicative Group (cont'd)
CH VII. Section 2. The Local Duality Theorem
November 10
CH VII. Section 4. Galois Module Structure of the Multiplicative Group
November 17
CH VII. Section 5. Explicit Determination of Local Galois Groups