Advanced Algebra
The content of the combined undergraduate/graduate course consists mainly of the second part of Serge Lang's Algebra. It is suitable as a pre-course for Algebraic Geometry, Representation theory of p-adic groups and Algebraic number theory. The syllabus can be found here. Topics:
- Galois Theory and field extensions
- Algebraic sets and basic algebraic geometry
- Noethernian rings and modules
- Number fields and extensions of primes
- Henselian fields.
Literature:
- Algebra, Serge Lang
- Algebraic number theory, Jürgen Neukirch
- The red book of varieties and schemes, David Mumford
Time and place: Every Tuesday and Friday 13:00-14:40 at IMS S506
Problem sheets:
Lecture notes:
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