240181 Quadratic forms (V) (WiSe 2025/2026)
Contents, comment
-
In the first part, we will give a modern account on the theory of quadratic forms.
Special attention will be given to quadratic forms over the rationals or more
generally global fields using the Witt group and the Hasse principle.In the second part we will discuss quadratic forms over the integers. In this case,
the local-global principle does not hold in general. This leads to the theory of
(spinor) genera.The lecture is based on the standard textbooks by Kneser, Cassels and O'Meara.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Di | 14-16 | X-B3-117 | 13.10.2025-06.02.2026 | |
| weekly | Do | 14-16 | X-E0-208 | 13.10.2025-06.02.2026 |
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-AL-AT10 Vertiefung Algebra und Zahlentheorie | Lecture Advanced Topics in Algebra and Number Theory | Graded examination
|
Student information |
| 24-M-P1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| 24-M-P1a Profilierung 1 Teil A | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-P1b Profilierung 1 Teil B | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-P2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 1 | Student information | |
| 24-M-PWM Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
- E-Learning Space
- E-Learning Space
- Moodle Courses
- Moodle Courses
- Address:
- WS2025_240181@ekvv.uni-bielefeld.de
- This address can be used by teaching staff, their secretary's offices as well as the individuals in charge of course data maintenance to send emails to the course participants. IMPORTANT: All sent emails must be activated. Wait for the activation email and follow the instructions given there.
- If the reference number is used for several courses in the course of the semester, use the following alternative address to reach the participants of exactly this: VST_590457885@ekvv.uni-bielefeld.de
- Notes:
- Additional notes on the electronic mailing lists
- Last update basic details/teaching staff:
- Thursday, August 21, 2025
- Last update times:
- Tuesday, August 19, 2025
- Last update rooms:
- Tuesday, August 19, 2025
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
- Language
- This lecture is taught in english
- Department
- Faculty of Mathematics
- Questions or corrections?
- Questions or correction requests for this course?
- Planning support
- Clashing dates for this course
- Links to this course
- If you want to set links to this course page, please use one of the following links. Do not use the link shown in your browser!
- The following link includes the course ID and is always unique:
- https://ekvv.uni-bielefeld.de/kvv_publ/publ/vd?id=590457885
- Send page to mobile
-
Click to open QR code
Scan QR code:
- ID
- 590457885