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Abstract:
Using a version of Beilinson's Equivalence Theorem we describe
`the framed moduli spaces' of rank one torsion-free coherent
sheaves over the quantum projective plane associated with
homogenized Weyl algebra. Ring-theoretically, this can be
reinterpreted as classifying, up to isomorphism, the ideals
in the usual complex Weyl algebra. Such moduli spaces turn out
to have a simple and regular structure, strikingly similar
to the structure of the usual Hilbert scheme of points on the
(commutative) affine plane. The talk is based on joint
work with G.Wilson (Imperial College, London).
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