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Frederic Schuller
Lectures on Geometrical Anatomy of Theoretical Physics
776,085 views
28 items
Last updated on Mar 12, 2016
public playlist
Frederic Schuller
1:40:48
Introduction/Logic of propositions and predicates- 01 - Frederic Schuller
Frederic Schuller
1:51:56
Axioms of set Theory - Lec 02 - Frederic Schuller
Frederic Schuller
1:34:42
Classification of sets - Lec 03 - Frederic Schuller
Frederic Schuller
1:38:42
Topological spaces - construction and purpose - Lec 04 - Frederic Schuller
Frederic Schuller
1:56:44
Topological spaces - some heavily used invariants - Lec 05 - Frederic Schuller
Frederic Schuller
1:49:18
Topological manifolds and manifold bundles- Lec 06 - Frederic Schuller
Frederic Schuller
1:14:34
Differentiable structures definition and classification - Lec 07 - Frederic Schuller
Frederic Schuller
2:22:59
Tensor space theory I: over a field - Lec 08 - Frederic P Schuller
Frederic Schuller
1:44:15
Differential structures: the pivotal concept of tangent vector spaces - Lec 09 - Frederic Schuller
Frederic Schuller
1:48:50
Construction of the tangent bundle - Lec 10 - Frederic Schuller
Frederic Schuller
1:55:10
Tensor space theory II: over a ring - Lec 11 - Frederic Schuller
Frederic Schuller
1:47:19
Grassmann algebra and deRham cohomology - Lec 12 - Frederic Schuller
Frederic Schuller
1:43:12
Lie groups and their Lie algebras - Lec 13 - Frederic Schuller
Frederic Schuller
1:46:43
Classification of Lie algebras and Dynkin diagrams - Lec 14 - Frederic Schuller
Frederic Schuller
1:51:13
The Lie group SL(2,C) and its Lie algebra sl(2,C) - lec 15 - Frederic Schuller
Frederic Schuller
1:40:32
Dynkin diagrams from Lie algebras, and vice versa - Lec 16 - Frederic Schuller
Frederic Schuller
1:32:39
Representation theory of Lie groups and Lie algebras - Lec 17 - Frederic Schuller
Frederic Schuller
44:10
Reconstruction of a Lie group from its algebra - Lec 18 - Frederic Schuller
Frederic Schuller
2:33:32
Principal fibre bundles - Lec 19 - Frederic Schuller
Frederic Schuller
1:42:31
Associated fibre bundles - Lec 20 - Frederic Schuller
Frederic Schuller
1:05:01
Conncections and connection 1-forms - Lec 21 - Frederic Schuller
Frederic Schuller
1:29:33
Local representations of a connection on the base manifold: Yang-Mills fields - Lec 22
Frederic Schuller
1:44:32
Parallel transport - Lec 23 - Frederic Schuller
Frederic Schuller
1:16:10
Curvature and torsion on principal bundles - Lec 24 - Frederic Schuller
Frederic Schuller
1:16:36
Covariant derivatives - Lec 25 - Frederic Schuller
Frederic Schuller
1:32:16
Application: Quantum mechanics on curved spaces - Lec 26 - Frederic Schuller
Frederic Schuller
1:39:15
Application: Spin structures - lec 27 - Frederic Schuller
Frederic Schuller
1:32:48
Application: Kinematical and dynamical symmetries - Lec 28 - Frederic Schuller
