250133 VO Principal Fiber Bundles (2024S)
Labels
MIXED
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
Lecturers
Classes (iCal) - next class is marked with N
Friday
01.03.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
06.03.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
08.03.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
13.03.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
15.03.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
20.03.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
22.03.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
10.04.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
12.04.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
17.04.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
19.04.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
24.04.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
26.04.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
N
Friday
03.05.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
08.05.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
10.05.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
15.05.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
17.05.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
22.05.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
24.05.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
29.05.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
31.05.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
05.06.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
07.06.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
12.06.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
14.06.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
19.06.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
21.06.
16:45 - 18:15
Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
26.06.
13:15 - 14:45
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Friday
28.06.
16:45 - 18:15
Seminarraum 10 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
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
Last modified: Mo 26.02.2024 11:27