Conference on Vector Bundles

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AbstractPrincipal Investigator: Bradlow, Steven BProposal Number: DMS - 0755229 Institution: University of Illinois at Urbana Champaign Title: Conference on Vector Bundles Mathematics researchers from US institutions will attend aninternational Conference on Vector Bundles, to be held in Madrid,Spain, for the period June 16-20, 2008. The conference will serveas the 2008 annual meeting of the Vector Bundles on Algebraic Curves(VBAC) group, an international network of mathematicians working onresearch questions related to vector bundles and their modulispaces. The meeting will also honor the 70th birthday of ProfessorS. Ramanan, a pioneer in the subject, and will form part of aSemester on Moduli Spaces organized by a consortium of Spanishmathematics research centers.Vector bundles and their associated moduli spaces stands at thecrossroads of several areas of mathematics, involving ideas fromalgebraic geometry, topology, differential geometry and gaugetheory. They have strong connections with theoretical physics, wherethe interaction between geometry and string theory has sparked majoradvances in both disciplines. After algebraic varietiesthemselves, vector bundles are probably the next most studiedobjects in algebraic geometry. The speakers and participants invitedto the conference described in this proposal include many of thepre-eminent experts in the field.