Holly Miller, Temple University
This talk is the second in a series of seminar talks discussing Galois Cohomology. The cohomology groups of a profinite group (with coefficients in a module over said group) will be introduced twice, first via inhomogeneous cochains and then through homogeneous cochains. The first method will be used to give interpretations for the cohomology groups of low dimension. The second will be used to show that these groups are limits of the cohomology groups of finite quotients of the profinite group in question. Lastly, the Tate cohomology -- which extends the usual cohomology -- will be discussed.