Conference on Hilbert Schemes, Vector Bundles and their Interplay with Representation Theory

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This award funds a conference in algebraic geometry at the University of Missouri-Columbia, April 5-6, 2002.The conference focuses on Hilbert schemes, vector bundlesand their interplay with representation theory. It has two main goals. The first is to provide a forum for algebraic geometers to meet with colleagues and learn of recent research developments in these focused areas. The second is to give graduate students, recent Ph.D's and womenan opportunity to broaden their mathematical horizons. The conference includes 8 hour-long invited talks addressed by leading mathematicians, and about 20 shorter communications.The focused areaes of the conference are at the central stage of recent confluence between mathematics and physics. The mathematical achievements in these focused areaes provide solid mathematical foundation to the physics theories which are vital to explain the universe.In addition, the conference will have a high impact on diversity, as well as scientific and educational activities.