MA 3G6 Schedule
Term 2 2016
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The following is an outline of the course, which will be updated as
the course progresses. Guides to the topic we will cover in any given
week are only approximate, and these will probably change as the term
progresses.
CLO is Ideals, Varieties, and Algorithms by Cox, Little, O'Shea.
Reid is Undergraduate Commutative Algebra by Reid.
Return to the main module webpage.
| Week |
(date of Monday) |
Topics |
Sections |
Homework |
Event |
| 1 |
11/1 |
Introduction, Gröbner bases |
CLO Chapter 2 |
HW 1 |
First class Monday |
| 2 |
18/1 |
More Gröbner bases |
CLO Chapter 2 |
|
|
| 3 |
25/1 |
Prime ideal, maximal ideals |
Reid Chapter 1. |
HW 2 |
HW 1 due Tuesday |
| 4 |
1/2 |
Localization |
Reid, Chapter 6 |
|
|
| 5 |
8/2 |
Modules, Cayley-Hamilton, Nakayama |
Reid, Chapter 2 |
HW 3 |
HW 2 due Tuesday
Support class in B3.02 this week. |
| 6 |
15/2 |
Integral closure
| Reid, Chapter 4 |
|
|
| 7 |
22/2 |
Varieties, Nullstellensatz |
CLO Chapters 1, 4,
Reid, Chapter 5 |
HW 4 |
HW 3 due Tuesday |
| 8 |
29/2 |
Nullstellensatz, Primary decomposition |
Reid, Chapter 7
CLO Section 4.7 |
HW 5 |
|
| 9 |
7/3 |
More primary decomposition |
Reid, Chapter 7
CLO Section 4.7 |
|
HW 4 due Tuesday |
| 10 |
14/3 |
Dimension, valuations, DVRs |
Reid, Chapter 8 |
HW 6 (not to hand in) |
HW 5 due Thursday |
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