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Algebraic number theory
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Algebraic number theory
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Academic year 2023/2024
- Teacher
- Lea Terracini
- Teaching period
- Jan-Mar
- Type
- Basic
- Credits/Recognition
- 6
- Course disciplinary sector (SSD)
- MAT/02 - algebra
- Delivery
- Formal authority
- Language
- English
- Attendance
- Obligatory
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Sommario del corso
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Program
Local and global fields. Adèles, idèles and approximation theorems
Application to the proof of the finiteness of the ideal class group and of the Dirichlet's units theorem.
Galois correspondence for infinite extensions.
Local class field theory.
Group cohomology.
Brauer group.
Global classfield theory and reciprocity law.Hours: 30
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Course delivery
Indicative beginning: January 15, 2024
Suggested readings and bibliography
- Enroll
- Open
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