Cécile Armana
Summary: We will present global aspects of algebraic number theory:
• Rings of integers, Dedekind rings
• Splitting of prime ideals (inertia degree, ramification), ideal class group and
class number, case of Galois extensions (decomposition group, inertia group),
• Fundamental examples : number fields, quadratic fiels, cyclotomic fields
• Hilbert class field