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250072 VO Principal Fiber Bundles (2026S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

MIXED

Moodle

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Monday 02.03. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 04.03. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 09.03. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 11.03. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 16.03. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 18.03. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 23.03. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 25.03. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 13.04. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 15.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 20.04. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 22.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 27.04. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 29.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 04.05. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 06.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 11.05. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 13.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 18.05. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 20.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 27.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 01.06. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 03.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 08.06. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 10.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 15.06. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 17.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 22.06. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday 24.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Monday 29.06. 16:45 - 18:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Principal fiber bundles are a fundamental tool in differential geometry and global analysis, where they provide the language for understanding curvature and for studying the interplay between geometry, analysis and topology. In mathematical physics they set the stage for gauge theories and the standard model of particle physics. This course provides an introduction to the topic, mainly following the book [1] by Helga Baum.

Assessment and permitted materials

Oral Exam.

Minimum requirements and assessment criteria

You should have a clear understanding of the main concepts introduced in the lecture and of their interrelations. Some proofs you should be able to reproduce will be listed in moodle.

Examination topics

Content of the lecture notes.

Reading list

Lecture notes: https://www.mat.univie.ac.at/~mike/teaching/ss20/pfb.pdf
Additional literature:
[1] Baum, Helga, Eichfeldtheorie
[2] Dieudonne, Foundations of Analysis, Vol. 3
[3] Hamilton, M., Mathematical Gauge Theory
[4] Kobayashi, S., Nomizu, K., Foundations of Differential Geometry

Association in the course directory

MGEV; ML2; MEL

Last modified: Th 13.08.2026 09:06