Topics
- (matrix) Lie groups, Lie algebras
- (flat) principal bundles
- parallel transport, path development
- (asymptotic) expansion, path-ordered exponential, Neumann series
- staying in the Lie algebra: Magnus expansion
- if time permits: higher parallel transport / surface development
Prerequisites
Linear algebra: mandatory.
(Linear) differential equations: beneficial.
Depending on the participants we will introduce the necessary notions from Lie group / Lie algebra theory.
Language Depending on participants the course will be in German or English.
- Dozent/in: Joscha Diehl