1. Invariants and moduli
2. Rings and polynomials
3. Algebraic varieties
4. Algebraic groups and rings of invariants
5. Construction of quotient spaces
6. Global construction of quotient varieties
7. Grassmannians and vector bundles
8. Curves and their Jacobians
9. Stable vector bundles on curves
10. Moduli functors
11. Intersection numbers and the Verlinde formula
12. The numerical criterion and its applications.

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