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Algebraic Number Theory I

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

 

Mon. 05 Dec, 2022 → Wed. 14 Dec, 2022