This is approximate.
Date | Material | Problems/Handouts |
Aug. 31-Sept. 2 | Smooth Manifolds: References: (T)-Chapter 1, (L1)-Chapter 1 |
Homework 1 |
Sept.7-9 | Tangent Vectors, The Lie Bracket, Lie Groups: | Homework 2 |
Sept. 12-16 | Lie Groups and Vector Bundles: | Homework 3 |
Sept.19-30 | Vector bundles: (T) Chapter 4, 5 | Homework 4 |
Oct. 3-7 | Vector bundles, Metrics, Structure Groups | Homework 5 |
Oct. 12-14 | Geodesics The geodesic equation, and geodesics in matrix groups | Homework 6 |
Oct.17-21 | Geodesics Gauss Lemma, Completeness | Homework 7 |
Oct. 24-28 | Connections on Vector Bundles (T) Ch. 11 and Ch. 12 | Homework 8 |
Oct. 31 -- Nov. 11 | Curvature and Characteristic Classes (T) Ch. 12, Ch. 14 | Homework 9 |