Messages
As discussed last week there will be a little gathering on friday after the exam - however it will be at 16 since there is a joint colloqium at the institute. We will meet at 16 at the bar above the super marked in frederica.
The exams will take place in room B534 in Niels Henrik Abels hus. This is the room just below the room where we had lectures.
The timetable for the exam is as follows:
Thursday:
10 Corinna -- 11 Kristian -- 13 Bjarte -- 14 Abdul
Friday:
9 ?yvind -- 10 Steinar -- 11 Jaakko
Any one taking the exam and not on this list can show up thursday morning to get a time slot.
To all norwegians taking the exam thursday or friday - I have thought about the following: You can take the exam in Norwegian or English - what ever you prefer. If you wish to take it in Norwegian both me and the censor is actually Danish. My Norwegian is not great but we usually understand each other. The censor has much more skill in Norwegian since he has been here much longer than I have - and we can also supplement with english. However, if you fell this may cause a problem we can arrange that a Norwegian sits in on the exam just to make sure. So if you wish this please contact me as soon as possible.
Just wanted to make everybody aware that on the main page under syllabus/achievement requirements there is an updated precise syllabus, and it has been updated today - because I included the two notes i have written.
Just realized that my scheduling conflicts with the abel award ceromony. So since we dont need all the time today we will start at 15.15, and only use the last hour.
The last two planned lectures are may 28th and 29th. Here we will discuss/repeat/summarize parts of the syllabus. Emails suggesting topics are very welcome.
The lecture on friday May 22nd is moved to tuesday May 19th. Same place and time as usual. No problems for this week. We will finish the syllabus, and talk about exam and more.
Problems for friday 15/5:
Chapter 2.2: 8, 9d, 10, 12.
Hint: use CW-structures.
Problems for Friday 8/5:
Chapter 2.1: 20 (first part only).
Chapter 2.2: 2,3,5,7.
Tomorrows lecture from 14.15 - 16.00 will be in the usual location: B62.
NOTICE: It turns out that this friday is a holiday, and so there is no lectures. However, we postponed a previous lecture, and I propose that we have this lecture tuesday the 5th of may at 14.15 to 16, and that the problems posed for this friday are moved to that lecture. If there are any problems with this we will discuss it this thursday.
Problems for friday 1/5:
Chapter 2.1: 17,18,20.
Problems for friday 24/4:
Chapter 2.1: 14,16,17,18,19.
Hint to 14: First prove that A is generated by two elements. Then change these generators into two generators with manageable relations (Divide into cases) - or use the classification of abelian groups generated by two elements, and use that we know something about the order of these elements.
There will be no lectures on Friday 17th. It was discussed moving them to tuesday 21th, but this turns out not to be possible!
Problems for friday 3/4:
Chapter 2.1: 10a+paragraph at top of page 168 (We did not have the time to finish this properly last time - and the induction solution we tried is in fact not as nice as the direct sollution), 11, 12, 14, 15.
Problems For Friday 27/3:
Chapter 2.1: 1,4,9,10a + paragraph at top of page 168.
Problems for Friday 20/3:
Chapter 1.3: 18,27.
Chapter 2.1: 1,9.
Problems for friday 13/3:
Chapter 1.3: 8,12,15,18,22.
Problems for friday 6/3:
Chapter 1.3: 1,4,7,8,9.
Problems for friday 27/2:
Chapter 1.3 : 2,3.
Chapter 1.2 : 6.
Chpater 0 : 16 (Hint: look at the inclusion of the n-sphere into the (n+1)-sphere, use HEP and composition of infinitely many homotopies).
Problems for friday 20/2:
Chapter 1.2: 20,7,9,14.
There is a link to a note on group theory. It contains a new version of the note on Abelianization and more.
Problems for friday 13/2.
Chapter 1.1: 6
Chapter 1.2: 4, 8, 20 (note that the infinite wedge is a countable infinite wedge).