Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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The close link between permanental ideals and complexity theory has drawn some recent attention to these ideals. I will discuss how to describe the minimal free resolution for the 2X2 permanents of a generic 2Xn matrix. In contrast to the case of determinants, the 2X2 permanents define an ideal I which is neither prime nor Cohen-Macaulay. The starting point combines works of Laubenbacher-Swanson on the Groebner basis of an ideal of 2X2 permanents of a generic matrix with the previous work connecting the initial ideal of 2X2 permanents to a simplicial complex. The main technical tool is a spectral sequence arising from Koszul cohomology.
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