241020 Algebraische Zahlentheorie IV (VÜA) (SoSe 2015)
Contents, comment
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In dieser Veranstaltung beschäftigen wir uns mit der absoluten Galoisgruppe G eines lokalen Körpers mit endlichem Restklassenkörper der Charakterisitk p (etwa des Körpers der p-adischen Zahlen). Genauer studieren wir p-adische Galois-Darstellungen, also stetige Homomorphismen von G in die Automorphismen eines endlich dimensionalen Vektorraums über Q_p.
Unter all diesen Darstellungen gibt es besonders "schöne", die sich mit Objekten der linearen Algebra leichter beschreiben lassen. Viele Konzepte dieser Theorie gehen auf den französischen Mathematiker Jean-Marc Fontaine zurück.
Requirements for participation, required level
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- gute Grundlagen in Algebraischer Zahlentheorie (in etwa die ersten beiden Kapitel aus Jürgen Neukirchs Buch "Algebraische Zahlentheorie");
- Gruppenkohomologie;
- (unendliche) Galoistheorie;
- grundlegende Begriffe aus der Topologie (topologischer Raum, stetig, kompakt etc.) sollten geläufig sein.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Mo | 10-12 | U2-113 | 07.04.-17.07.2015
not on: 5/25/15 |
|
| weekly | Do | 10-12 | C01-243 | 07.04.-17.07.2015
not on: 5/14/15 / 6/4/15 |
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profile Module 1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 2 | Study requirement
|
Student information |
| - | Graded examination | Student information | |
| 24-M-P2 Profile Module 2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 2 | Study requirement
|
Student information |
| 24-M-PWM Profile Module Economic Mathematics Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) -Typ 2 | Study requirement
|
Student information |
| - | Graded examination | Student information | |
| 24-M-S2-AL Spezialisation Courses in Algebra Spezialisierung 2 - Algebra | Masterkurs 2 Algebra - Variante 3 Teil 1 | Study requirement
|
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.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik / Diplom | (Enrollment until SoSe 2008) | Wahl | 5. 6. 7. 8. | scheinfähig HS |
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- SS2015_241020@ekvv.uni-bielefeld.de
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- Last update basic details/teaching staff:
- Friday, December 11, 2015
- Last update times:
- Monday, February 23, 2015
- Last update rooms:
- Monday, February 23, 2015
- Type(s) / SWS (hours per week per semester)
- lecture with exercises (VÜA) / 4
- Department
- Faculty of Mathematics
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