Universität Wien
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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

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: Th 08.02.2024 00:20