"Grundthemen Algebra" Commutative Ring Theory
Mon 12:15-13:25 SR C307 (mathematics, 3rd floor Steyrerg 30)
Tue 10:15-11:45
seminar room PH02100 (theoretical physics,
2nd floor of Petersgasse 16)
I will teach a doctoral level course on commutative ring theory,
which is not yet on TUGonline (but will be soon). The emphasis
is on techniques that are nedded in the theory of polynomial mappings
and integer-valued polynomials. But these techniques are general enough
to serve as an introduction to commutative ring theory in general:
- Integral ring extensions, integral closure
- Valuations, Prüfer rings, Krull rings
- Topology: Compactness; Completion of uniform spaces
- Completions
- Uni-branched and analytically irreducible extensions
The outline of the course will be similar to that of last year,
so the participants of that course, Barroero, Krenn, Minervino,
are well placed to tell you what to expect.
Sophie Frisch
frisch@blah.math.tu-graz.ac.at