Xiaoyu (Coco) Huang, Temple University
We will present several duality theorems concerning cohomology groups in the context of finite and profinite groups. As an application, we will discuss the reciprocity isomorphism and the abstract formulation of class field theory. The reference is Section 3.1 in "Cohomology of Number Fields" by Neukirch, Schmidt and Wingberg. Some results from Section 1.8 will be reviewed.