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The exam will be held in room 720 in Niels Henrik Abels Hus. Each exam will take approximately 40 minutes.

Here is the schedule:

Thursday December 8:

1: Sivertsen - 10:00

2: Leraand - 11:00

3: Alberg - 13:00

4: Anderssen - 14:00

Friday December 9:

1: Opdan - 10:00

2: Calderer Garcia - 11:00

3: Triantafilidis - 13:00

Here

Let's meet on Wednesday (Nov. 30) at 10:15 in the usual room, for a repetition lecture and overview of the course.

Here is a detailed overview of the syllabus.

The oral exam will be around 45 minutes.

At some point before the exam I will post some starting problems. You can choose one of these problems and present it during the first 10 minutes of the exam. 

The final oral exam will be held on December 8 and 9.

Feel free to email me and let me know if you prefer one day over the other.

Here

I suggest holding the final oral exam on December 8 and 9. Please let me know if this is not possible for you. Also, if you prefer one day over the other, or would like to have the exam early or late, send me an email and I'll see what I can do.

I have become ill and am in no condition to lecture, so unfortunately I have to cancel tomorrow's lecture. Hopefully we can set up an extra lecture in one of the coming weeks to get back on track.

In the meantime I ask you to read ¡ì4: The Cohomology of Profinite Groups in Ch II in Milne's notes. Then in the next lecture we start on proofs of local class field theory.

See you next week!

Here you can find the mandatory assignment. 

You need only do Problem 1 and then choose one of Problem 2 or 3 to hand in.

Please hand in via Canvas by November 10, 14:30. 

Nikolai Thode Opdan

ntmarti at math dot uio dot no

I have posted a few exercises on local fields, see under "Exercises" here on the course webpage. I'll upload solutions soon.

Dear all,

In the lectures today I said that there is no mandatory assignment in this course, this is wrong and we will have one mandatory assignment during the semester. I will come back to format and date for the assignment later.

Moreover, I wanted to also point to the course webpage for MAT4250 for the year 2013, here Geir Ellingsrud has made several notes which may serve as good additional reading material.

Dear all,

Here is a short overview of algebraic number theory, touching on some of the main objects of study.

Here are some exercises with solutions from 2018:

Set 1

Set 2

Solutions 1

Solutions 2

Finally, in addition to Milne's notes on algebraic number theory you can check out Neukirch's book. For the repetition material, check out chapters 1 and 2.

To everyone interested in joining MAT4250 this fall,

Due to popular demand the topic for MAT4250 this fall is class field theory, mostly following Milne's notes:

https://www.jmilne.org/math/CourseNotes/cft.html

The first couple of weeks I will review some necessary material from basic algebraic number theory. If you have not had a first course in algebraic number theory before, a little self study beforehand is recommended, see e.g.:

https://www.jmilne.org/math/CourseNotes/ant.html

(in particular sections 2,3,6,7).

- H?kon