Math 776 — Class field theory — Winter 2019

Office hours: Monday and Thursday 9:30am–11:00am in 4855 East Hall, or by appointment.

My lecture notes:

• Background on local fields and Kummer theory
• The Kronecker--Weber theorem
• The statements of class field theory
• Applications: reciprocity laws
• Applications: L-functions and densities
• Review of homological algebra
• Group cohomology

Dean Young is also typing up notes from class and posting them to his website.

Other references:

• Milne's notes
• Kedlaya's notes