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Speaker:
Uwe Nagel, University of Kentucky
Title:
Ferrers graphs and related ideals.
Abstract:
To a Ferrers tableau we associate a bipartite graph.
Its edge ideal is a squarefree monomial ideal that is generated by quadrics. We
call it a Ferrers ideal and study its properties. It turns out that
all Ferrers ideals have a linear minimal free resolution which we
completely describe, including the maps. We also determine the primary
decomposition of the Ferrers ideals and show that a Ferrers ideal is
unmixed if and only if it is Cohen-Macaulay. In this case its special fiber ring is
Gorenstein.
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