19207001
Lecture
WiSe 18/19: Zahlentheorie III
Hélène Esnault
Comments
Goal of the course shall be to prove the main theorem of local class field theory. To this aim, we shall cover:
- Infinite Galois theory
- Local fields
- Brauer groups
- Brauer groups of local fields
- Definition of local Artin map
- Proof of the main theorem.
Our references shall be:
- [Milne1] for 2.
- [Milne2] for 1. and partly for 3.
- [KKS] for 3., 4., 5., 6.
Milne’s books are freely available on the web, we shall provide the book Kato-Kurokawa-Saito.
- [Milne1]: Milne, James: Algebraic Number Theory (available here)
- [Milne2]: Milne, James: Class Field Theory (available here)
- [KKS]: Kato, K., Kurokawa, N. and Saito, T.: Number Theory 2: Introduction to Class Field Theory, Translations of Mathematical Monographs Volume 240
Suggested reading
16 Class schedule
Regular appointments
Tue, 2018-10-16 12:00 - 14:00
Tue, 2018-10-23 12:00 - 14:00
Tue, 2018-10-30 12:00 - 14:00
Tue, 2018-11-06 12:00 - 14:00
Tue, 2018-11-13 12:00 - 14:00
Tue, 2018-11-20 12:00 - 14:00
Tue, 2018-11-27 12:00 - 14:00
Tue, 2018-12-04 12:00 - 14:00
Tue, 2018-12-11 12:00 - 14:00
Tue, 2018-12-18 12:00 - 14:00
Tue, 2019-01-08 12:00 - 14:00
Tue, 2019-01-15 12:00 - 14:00
Tue, 2019-01-22 12:00 - 14:00
Tue, 2019-01-29 12:00 - 14:00
Tue, 2019-02-05 12:00 - 14:00
Tue, 2019-02-12 12:00 - 14:00