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SUMMARY:Mina Bigdeli (IPM\, Tehran\, Iran)
DTSTART:20221118T120000Z
DTEND:20221118T130000Z
DTSTAMP:20260423T021058Z
UID:VCAS/148
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/148/">Q
 uadratic monomial ideals with almost linear free resolutions</a>\nby Mina 
 Bigdeli (IPM\, Tehran\, Iran) as part of IIT Bombay Virtual Commutative Al
 gebra Seminar\n\n\nAbstract\nThis talk will be about the minimal free reso
 lution of quadratic monomial ideals. It is well known that a quadratic mon
 omial ideal $I$ in the polynomial ring $\\mathbb{K}[x_1\,\\ldots\, x_n]$\,
  $\\mathbb{K}$ a field\, has a linear resolution if and only if $I$ is the
  edge ideal of the complement of a chordal graph\, and this is equivalent 
 to the linearity of the resolution of all powers of $I$. \n\nIn this talk 
 we will discuss the case that the resolution of a quadratic monomial ideal
   $I$ is linear up to the homological degree $t$ with  $t\\geq\\projdim(I)
 -2$\, where  $\\projdim(I)$ denotes the projective dimension of $I$.  As a
 n outcome\, we  give a  combinatorial classification of such ideals and al
 so check whether their high powers have a linear resolution.\n\n\nChairper
 son: Siamak Yassemi\, University of Tehran\, Iran\n
LOCATION:https://researchseminars.org/talk/VCAS/148/
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