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The Hilbert scheme of points of affine 3-space

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Speaker: 
Andrea Ricolfi
Affiliation: 
University of Stavanger/MPIM
Date: 
Fri, 2018-03-02 14:15 - 16:30
Location: 
MPIM Lecture Hall

We describe the scheme structure of the Hilbert scheme of points of affine 3-space,
in terms of representations of the Jacobi algebra of a quiver with potential. This exhibits the Hilbert scheme of points as the critical locus of a regular function on a smooth variety.
We discuss the torus action on the Hilbert scheme and its Euler characteristic.
 

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