Math 80220 Topics in Algebra (Spring 2018)
Algebraic Number Theory
| Due | Set | Topics | |
| Fri, 2/2 | Problem Set 1 | Explicit rings of integers, discriminants. | |
| Fri, 2/9 | Problem Set 2 | Euclidean domains, unique factorization domains, Chinese Remainder Theorem. | |
| Fri, 2/16 | Problem Set 3 | Discriminants, volumes, units | |
| Fri, 2/23 | Problem Set 4 | Class groups, class numbers, units | |
| Fri, 3/2 | Problem Set 5 | p-adics, adeles, Haar measures | |
| Fri, 3/9 | Problem Set 6 | Adeles, S-units | |
| Fri, 3/23 | Problem Set 7 | Ramification, class group | |
| Fri 4/6 | Problem Set 8 | Different, Frobenius, higher ramification | |
| Fri 4/13 | Problem Set 9 | Different, discriminant, higher ramification groups, quadratic reciprocity | |
| Fri 4/20 | Problem Set 10 | The Riemann zeta function, Bernoulli numbers, vanishing of Dedekind zeta functions | |
| Fri 5/4 | Problem Set 11 | ||
| Never | The Leftovers |
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