Vorträge im Schwerpunkt Reelle Geometrie und Algebra
Montag, 31. Januar 2011, um 16:15 Uhr in P712
Jun.-Prof. Dr. Arno Fehm
(Konstanz)
Galois theory and fields
of power series
Abstract:
One of the main driving forces in Galois theory is the inverse Galois
problem: Is every finite group a Galois group over the field of
rational numbers? This question, though more than a century old, is
still open. In this talk I will explain some of the questions and
concepts of modern Galois theory, in particular the role of Hilbert's
irreducibility theorem, Pop's result on ample fields, and the
solvability of finite split embedding problems. Then I will present
related results from joint work with Elad Paran, concerning fields of
power series.
zuletzt
geändert am 21. Januar 2011
