Lectures on Principal Bundles
نویسندگان
چکیده
The aim of these lectures is to give a brief introduction to principal bundles on algebraic curves towards the construction of the moduli spaces of semistable principal bundles. The first lecture develops the basic machinery on principal bundles, their automorphisms. At the end of the first chapter, we give a proof of theorem of Grothendieck on orthogonal bundles. The second chapter, after developing the notions of semistability and stability gives a modern proof of Grothendieck’s theorem of classification of principal bundles on the projective line. The third chapter gives an outline of the construction of the moduli space of principal bundles on curves. The moduli space was constructed by A.Ramanthan in 1975. The method outlined here is from a new construction in [BS].
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