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SUMMARY:L. T. Hoa (Institute of Mathematics\, Hanoi\, Vietnam)
DTSTART:20210423T120000Z
DTEND:20210423T130000Z
DTSTAMP:20260423T035053Z
UID:VCAS/79
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/79/">As
 ymptotic behavior of Integer Programming and the stability of the Castelnu
 ovo-Mumford regularity</a>\nby L. T. Hoa (Institute of Mathematics\, Hanoi
 \, Vietnam) as part of IIT Bombay Virtual Commutative Algebra Seminar\n\n\
 nAbstract\nIn the talk\, we explain a connection between  Commutative Alge
 bra and Integer Programming in two parts. The first one is devoted to the 
 asymptotic behavior of integer programs with a fixed cost linear functiona
 l and the constraint sets consisting of a finite system of linear equation
 s or inequalities with integer coefficients depending linearly on $n$.  An
  integer $N_*$ is determined such that the optima of these integer program
 s are a quasi-linear function of $n$ for all  $n\\ge N_*$. Using results i
 n the first part\, one can bound in the second part the indices of stabili
 ty of the Castelnuovo-Mumford regularities of integral closures of powers 
 of a  monomial ideal and that of symbolic powers of a square-free monomial
  ideal.\n
LOCATION:https://researchseminars.org/talk/VCAS/79/
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