Syllabus
- 2/16: Lie groups, fiber bundles, principal bundles, associated bundles
- 2/23: gauge transformations, connections
- 3/1: Move to 6/14
- 3/8: curvature 2-form, gauge action
- 3/15: Yang-Mills functional
- 3/22: moduli space of flat bundles
- 3/29: connections on a vector bundle
- 4/5: National Holiday
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- 4/12: almost complex structure
- 4/19: holomorphic structure on a complex vector bundle
- 4/26: Harder-Narasimhan filtration, Narasimhan-Seshadri Theorem
- 5/3: Move to 6/14
- 5/10: Hermitian connections
- 5/17: Relation between the three moduli spaces
- 5/24: Hitchin equations and various moduli spaces
- 5/31: Kahler and hyperKahler quotients
- 6/7: Morse theory as an application on the moduli space's topology Starts at 12
- 6/14: Final presentations Starts at 11 am at room 734
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