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Modern Moduli Theory |
| February 23, 2009 to February 27, 2009 |
| Organized By: I. Coskun (U. Illinois - Chicago), S. Katz (U. Illinois), A. Marian (Institute for Advanced Study), R. Pandharipande (Princeton U.), R. Thomas (Imperial College), H.H. Tseng (U. Wisconsin), R. Vakil (Stanford U.) |
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| Parent Programs: |
| Algebraic Geometry |
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| Return to Workshop Description |
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The Verlinde bundles in higher genus
Thursday February 26, 2009
09:30AM - 10:30AM
Speakers:
Dragos Oprea
Abstract:
The Verlinde bundles over the Jacobian of a smooth projective curve have as fibers various spaces of generalized theta functions (i.e. spaces of global sections of determinant line bundles over moduli spaces of bundles on the curve). I will present an explicit description of the Verlinde bundles in terms of a class of indecomposable vector bundles constructed by Mukai. In agreement with strange duality, the simple factors satisfy a "level-rank" symmetry and their spaces of sections are naturally dual.
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