Meetings are over for the semester!
In previous meetings:
I talked about The Kronecker-Weber theorem. (Kedlaya, Ch 1) (Here are notes)
Jake talked about Kummer Theory. (Kedlaya, Ch 2)
Guanyu talked about The Local Kronecker-Weber theorem. (Kedlaya, Ch 3)
Jessie talked about The Hilbert class field (Kedlaya, Ch 4) and the first section of Generalized ideal class groups and the Artin reciprocity law. (Kedlaya, Ch 5)
I talked about the rest of Generalized ideal class groups and the Artin reciprocity law. (Kedlaya, Ch 5) (Here are notes)
Seraphina talked about The principal ideal theorem. (Kedlaya, Ch 6)
Guanyu talked about Cohomology of finite groups I: abstract nonsense. (Kedlaya, Ch 8)
Guanyu talked (again!) about Homological abstract nonsense. (Gelfand/Manin, "Methods of Homological Algebra")
Jake talked about L-functions and Dirichlet's theorem on arithmetic progressions.
Seraphina talked about Cohomology of finite groups II: concrete nonsense. (Kedlaya, Ch 9)
I talked about Adeles and Ideles. (Kedlaya, Ch 16?) (Here are notes)