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Systems of parameters for cubical complexes


Speaker: Margaret Readdy, University of Stockholm
Location: 693 Kerr
Start time: Wed, Jan 12 2000, 4:10PM

The Hetyei ring of a cubical complex is the cubical analogue of the Stanley-Reisner ring of a simplicial complex. My work is motivated by finding a cubical analogue of Kind and Kleinschmidt's beautiful result for determining system of parameters for the Stanley-Reisner ring of a shellable simplicial complex and finding an explicit basis for the quotient ring from the shelling. In the case when the cubical complex is edge-orientable, that is, a cubical analogue of being completely balanced, I determine a system of parameters. I also give a combinatorial construction for the basis which comes from shelling the complex. Finally, I will indicate how this theory generalizes to non-pure shellable cubical complexes.

This talk is for a general audience.