240165 Spezialisierungskurs (Differential-) Geometrie (V) (SoSe 2020)
Contents, comment
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Inhaltliche Stichpunkte: Kurven und Flächen, Mannigfaltigkeiten, Bündel, pseudo-riemannsche Metrik, Zusammenhang, Krümmungstensor, Liegruppen, Liealgebren.
Die Veranstaltung findet bis auf Weiteres nicht als Präsenzveranstaltung statt. Die Vorlesung wird durch eine Vorlesung in Form einer Videokonferenz zu den genannten Veranstaltungszeiten ersetzt. Sie erhalten weitere Materialien über die externe Kommentarseite www.geotop-bielefeld.de, den Lernraum bzw. Lernraum Plus, sowie den ekvv-Mailverteiler. Dort finden Sie auch organisatorische Hinweise, z.B. auch zum Übungsbetrieb.
Requirements for participation, required level
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Vorkenntnisse:
Analysis 2 (notwendig)
Geometrie und Topologie (empfohlen)
Bibliography
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Agricola, Friedrich: Global Analysis
Bär: Elementare Differentialgeometrie
Berger: A Panoramic View of Riemannian Geometry
Berger, Gostiaux: Differential Geometry: Manifolds, Curves and Surfaces
Gallot, Hulin, Lafontaine: Riemannian Geometry
Kühnel: Differentialgeometrie
Ramanan: Global Calculus
External comments page
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 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 | |
| 24-M-SV1-AN Spezialisierung/Vertiefung 1 - Analysis | Spezialisierungskurs Analysis | Graded examination
|
Student information |
| 24-M-VM1 Vertiefung Mathematik 1 | Vertiefungskurs Mathematik 1 - Variante 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.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik / Promotion | Subject-specific qualification | 4 | aktive Teilnahme oder unbenotete Einzelleistung |
E-Learning Space
A corresponding course offer for this course already exists in the e-learning system. Teaching staff can store materials relating to teaching courses there:
- Registered number: 16
- This is the number of students having stored the course in their timetable. In brackets, you see the number of users registered via guest accounts.
- Address:
- SS2020_240165@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_200412386@ekvv.uni-bielefeld.de
- Coverage:
- 12 Students to be reached directly via email
- Notes:
- Additional notes on the electronic mailing lists
- Last update basic details/teaching staff:
- Thursday, December 12, 2019
- Last update times:
- Friday, February 28, 2020
- Last update rooms:
- Friday, February 28, 2020
- Type(s) / SWS (hours per week per semester)
- V / 4
- Department
- Faculty of Mathematics
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