Schedule
| Lecture | Homework due
|
---|
Sep 9/10 |
[Intensive course on categories and modules]
|
| Sep 16 |
Peter Stevenhagen: Chapter 1
|
| Sep 23 |
Bart de Smit: Chapter 2
up to 2.12
| For 2 points:
Ch. 1: 5, 7, 11, 12, 17, 24
For 3 points:
Ch. 1: 13,22, 25, 29, 31, 35
| Sep 30 |
Peter Stevenhagen
|
For 2 points:
Ch. 2: 10,1 7, 23, 28 (you may assume 27), 30
For 3 points:
Ch. 2: 18, 25, 29, 32, 33
| Oct 7 |
Bart de Smit
|
For 2 points:
Ch. 2: 37,42, 48, 53; Ch. 3: 10, 13
For 3 points:
Ch. 2: 43, 46, 57; Ch. 3: 15, 16
| Oct 14 |
Peter Stevenhagen
|
For 2 points:
Ch. 3: 17, 21, 22, 26, 29
For 3 points:
Ch. 3: 18, 25, 27, 30, 31
| Oct 21 |
Peter Stevenhagen
|
For 2 points: Ch. 4: 5, 11, 12, 19, 21
For 3 points: Ch. 4: 14, 15, 16, 17, 20
| Oct 28 |
no class
| Nov 4 |
Bart de Smit
|
For 2 points: Ch. 4: 31, 32, Ch.5: 5, 6, 9
For 3 points: Ch. 5: 4, 7, 8, 15, 18
(you may use Cor. 5.9 if needed)
For this week you may
vote
on which problems you would like to have discussed in class.
| Nov 11 |
Bart de Smit
|
For 2 points: Ch. 5: 10, 13, 14, 16, 20
For 3 points: Ch. 5: 11, 12, 17, 19
| Nov 18 |
Peter Stevenhagen
|
For 2 points: Ch. 5: 22, 25, 27, 29, 30
For 3 points: Ch. 5: 21, 24, 28, 31, 32
(in exercise 31 assume that L is not equal to K, and
replace "it equals" by "we have").
For this week you may
vote
again on which problems you would like to have discussed in class.
| Nov 25 |
Bart de Smit
Sage
|
For 2 points: Ch. 7: 5, 8, 10, 16
For 3 points: Ch. 7: 7, 12, 15, 17
Extra problem for 2 pts: Compute the class group of Q(√d) for
one value of d in {-74, -101, -167}
Extra problem for 3 pts:
Give one nontrivial solution of the Pell equation for
one value of d in {31, 43, 46, 94}.
Show us also how you find such a solution.
Do all calculations by hand and make sure that you show us that you understand the techniques you learned in
class. Just giving a solution and verifying it will not give you three points.
For this week you may
vote
again on which problems you would like to have discussed in class.
| Dec 2 |
Peter Stevenhagen
| This week there is a page of exercises and instructions [pdf]
to work on using Sage, and for convenience a text file to copy for exercise 4.
You can work in pairs if you want. The
worksheet
that we ran through
in class is also available.
| Dec 9 |
Bart de Smit
|
For 2 points: Ch. 8: 5, 7, 9, 10
For 3 points: Ch. 8: 4, 6, 8, 11, and 8.15
| Dec 16 |
Hendrik Lenstra: Number field sieve
|
In the third hour we will answer questions on the
mock exam.
| Jan 27 | |
10:00 - 13:00 Final exam at the VU, room FG1 (Medical Faculty).
|
Last update December 9, 2014, 12:51 |