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SUMMARY:Seyed Amin Seyed Fakhari (University of Tehran)
DTSTART:20211112T120000Z
DTEND:20211112T130000Z
DTSTAMP:20260423T021052Z
UID:VCAS/108
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/108/">H
 omological properties of symbolic powers of cover ideals of graphs</a>\nby
  Seyed Amin Seyed Fakhari (University of Tehran) as part of IIT Bombay Vir
 tual Commutative Algebra Seminar\n\n\nAbstract\nTo every simple graph\, on
 e associates its edge ideal which is generated by quadratic squarefree mo
 nomials corresponding to edges of the graph. In this talk\, we study the A
 lexander dual of edge ideals\, which is called the cover ideal. The reason
  for this naming is that the cover ideal is minimally generated by squaref
 ree monomials corresponding to the minimal vertex covers of the given grap
 h. We review the recent results about the symbolic powers of cover ideals.
  In particular\, we characterize all graphs with the property that every s
 ymbolic power of its cover ideal has a linear resolution. Also\, we determ
 ine an upper bound for the regularity of symbolic powers of certain classe
 s of graphs including bipartite graphs\, unmixed graphs and claw-free grap
 hs. Moreover\, we study the asymptotic behavior of depth of symbolic power
 s of cover ideals.\n\nChairperson: Siamak Yassemi\, IPM\, Tehran\n
LOCATION:https://researchseminars.org/talk/VCAS/108/
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