Mathematical gauge theory

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Next lectures
24.04.2025, 15:15 (S311)
01.05.2025, 15:15 (S311)
08.05.2025, 15:15 (S311)
15.05.2025, 15:15 (S311)
22.05.2025, 15:15 (S311)
29.05.2025, 15:15 (S311)
05.06.2025, 15:15 (S311)
12.06.2025, 15:15 (S311)
19.06.2025, 15:15 (S311)
26.06.2025, 15:15 (S311)
03.07.2025, 15:15 (S311)
10.07.2025, 15:15 (S311)

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We investigate connections on principal fiber bundles. To this end we discuss basics of Lie groups and their representations. Then we dive into the theory of smooth fiber bundles, with emphasis on principal fiber bundles and associated vector bundles. The third section will be about defining and investigating connections on such bundles and their curvature. As a final note we introduce the Yang-Mills equations.

Keywords
Lie groups, fiber bundles, principal fiber bundles, connections, curvature

Prerequisites
Differential Geometry