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This course provides an introduction to algebraic number theory.
0
2
English
English [CC]
FREE
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Description
Topics covered include dedekind domains, unique factorization of prime ideals, number fields, splitting of primes, class group, lattice methods, finiteness of the class number, Dirichlet’s units theorem, local fields, ramification, discriminants.
Course content
- [SAM] 1.1-1.3 Unlimited
- [SAM] 1.4-1.7 Unlimited
- [SAM] 2.1-2.5 Unlimited
- [SAM] 2.6-2.9 Unlimited
- [SAM] 3.1-3.5 Unlimited
- Valuations and completions lecture Unlimited
- Local fields and GP/Sage sessions Unlimited
- [SAM] 4.1-4.3 Unlimited
- [SAM] 4.4-4.7 Unlimited
- [SAM] 5.1-5.2 Unlimited
- [SAM] 5.3-5.4 Unlimited
- [SAM] 5.5-5.7 Unlimited
- Midterm Unlimited
Instructor
Massachusetts Institute of Technology
5
5
1
1916
1520
