The basic classification of vector bundles on algebraic curves was carried out 40 years ago. The lecture will describe this classification in broad terms (more details in Lecture 3) and also survey what is now known about the moduli spaces used to classify bundles (more details in Lectures 3 and 4).

References

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• R. Herrera and S. Salamon, Intersection numbers on moduli spaces and symmetries of a Verlinde formula, Comm. Math. Phys. 188 (1997), 521-534