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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.)
 
Parent Programs:
Algebraic Geometry
 
Return to Workshop Description
 

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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