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250005 VO Principal fiber bundles (2020S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: English

Examination dates

Wednesday 08.07.2020 Tuesday 28.07.2020 Friday 31.07.2020 Thursday 06.08.2020 Monday 10.08.2020 Friday 20.11.2020 Monday 09.08.2021

Lecturers

Classes (iCal) - next class is marked with N

Currently this lecture course is held via zoom video conferences, see https://www.mat.univie.ac.at/~mike/teaching.php

Tuesday 03.03. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 05.03. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 10.03. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 17.03. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 19.03. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 24.03. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 26.03. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 31.03. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 02.04. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 21.04. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 23.04. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 28.04. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 30.04. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 05.05. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 07.05. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 12.05. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 14.05. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 19.05. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 26.05. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 28.05. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 04.06. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 09.06. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 16.06. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 18.06. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 23.06. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 25.06. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 30.06. 13:15 - 14:45 Seminarraum 8 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

To follow the course, knowledge of Lie groups, analysis on manifolds, as well as some basics of (semi-)Riemannain geometry is required. The exam will test the working knowledge of the course material.

Examination topics

See lecture notes.

Reading list

[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

MANV, MGEV

Last modified: Tu 10.08.2021 00:23