Moduli of Bundles (Part One)
David Ben-Zvi (The University of Texas at Austin)
April 11th, 2007 at University of Oxford
Special thanks to Charles Beesley, Head of Media Production, University of Oxford
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Abstract:
The setting for the geometric Langlands program is the geometry of moduli spaces of bundles on an algebraic curve. Beginning with the more familiar setting of Picard groups, we will explore the principal structures on these spaces, the loop group uniformization and Hitchin's integrable system. The latter provides a crucial "abelianization" of nonabelian moduli spaces and suggests a duality between geometric function spaces on moduli of bundles for dual groups - the geometric Langlands correspondence.