Galois Theory

Content:
– Classical formulas
– Polynomials and field theory
– Fundamental theorem on symmetric polynomials and discriminants
– Roots of unity and cyclotomic polynomials
– Solvability by radicals
– Basic elements of Galois theory. Automorphisms. Galois extensions.
– Fundamental theorem of Galois theory.
– Classical theorems by Abel, Galois, Gauss, Kronecker, Lagrange, and Ruffini.
– Applications and examples.
Lecturer: Michel Lavrauw
Number of places for T4EU students: 15.

ECTS: 6

Basic Course (BC): knowledge in area of expertise

Time: TBC