Warning: the following information is tentative and subject to change at any time
| Chapter | Week | Date | Material | In-class | Notes |
|---|---|---|---|---|---|
| Intro | 1 | W 10/1 | Introduction | Scan | |
| F 12/1 | Lamé's mistake | Scan | |||
| Rings of Integers |
2 | W 17/1 | Algebraic integers | Scan | |
| F 19/1 | Unique Factorization | Scan | |||
| 3 | W 24/1 | Primes in extensions | Scan | ||
| F 26/1 | (continued) | Scan | |||
| Local Fields |
4 | W 31/1 | Absolute values | Scan | |
| F 2/2 | Completions and | Scan | |||
| 5 | W 7/2 | Complete fields | Scan | ||
| F 9/2 | (continued) | Scan | |||
| 6 | W 14/2 | Ramification | Scan | ||
| F 16/2 | (continued) | Scan | |||
| Feb 19-23 | UBC Winter break | ||||
| 7 | W 28/2 | Places of number fields | Scan | ||
| F 1/3 | (continued) | Scan | |||
| Ramification | 8 | W 6/3 | Duality and the different | Scan | |
| F 8/3 | (continued) | Scan | |||
| 9 | W 13/3 | The discriminant | Scan | ||
| F 15/3 | Cyclotomic fields | Scan | |||
| Geometry of Numbers |
10 | W 20/3 | Lattices | Scan | |
| F 22/3 | Discriminant bounds | Scan | |||
| 11 | W 27/3 | Finiteness of the classgroup Dirichlet's Unit Theorem |
Scan | ||
| F 29/3 | Good Friday -- no class | ||||
| L-functions | 12 | W 3/4 | Smooth sums | Scan | |
| F 5/4 | Analytical continuoation | ||||
| 13 | W 10/4 | The Dedekindzetafunction | |||
| F 12/4 | Some generalizations | ||||
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Clarification: the writings on these pages are generally my own creations (to which I own the copyright), and are made available for traditional academic reuse. If you wish to republish substantial portions (including in "derivative works") please ask me for permission. The material is expressly excluded from the terms of UBC Policy 81.
Last modified Friday April 12, 2024