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SUMMARY:Keller VandeBogert (South Carolina)
DTSTART:20201130T171500Z
DTEND:20201130T181500Z
DTSTAMP:20260423T021604Z
UID:GASC/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GASC/9/">Gro
 bner Bases and Linear Strands of Determinantal Facet Ideals</a>\nby Keller
  VandeBogert (South Carolina) as part of Geometry\, Algebra\, Singularitie
 s\, and Combinatorics\n\n\nAbstract\nDeterminantal facet ideals (DFI's) ar
 e a generalization of binomial edge ideals which were introduced by Ene\, 
 Herzog\, Hibi\, and Mohammedi. The generating sets for such ideals come fr
 om matrix minors whose columns are parametrized by an associated simplicia
 l complex. In this talk\, we will discuss a generalized version of DFI's a
 nd give explicit conditions guaranteeing that the standard minimal generat
 ing set forms a reduced Grobner basis (with respect to the standard diagon
 al term order). Moreover\, we show that the linear strand of the initial i
 deal may be obtained as a "sparse" generalized Eagon-Northcott complex\, w
 hich may then be used to verify a conjecture relating the graded Betti num
 bers of a DFI to the graded Betti numbers of its initial ideal. This is jo
 int work with Ayah Almousa.\n
LOCATION:https://researchseminars.org/talk/GASC/9/
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