Speaker: L. T. Hoa, Institute of Mathematics, Hanoi, Vietnam.
Date/Time: 23 April 2021, 5:30pm IST/ 12:00pm GMT / 8:00am EDT (joining
time 5:15pm IST).
Google meet link:
https://meet.google.com/rev-pyja-byk
Title: Asymptotic behavior of Integer Programming and the stability of the
Castelnuovo-Mumford regularity.
Abstract: In the talk we explain a connection between Commutative Algebra
and Integer Programming and contains two parts. The first one is devoted
to the asymptotic behavior of integer programs with a fixed cost linear
functional and the constraint sets consisting of a finite system of linear
equations or inequalities with integer coefficients depending linearly on
$n$. An integer $N_*$ is determined such that the optima of these integer
programs are a quasi-linear function of $n$ for all $n\ge N_*$. Using
results in the first part, one can bound in the second part the indices of
stability 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.
For more information and links to previous seminars, visit the website of
VCAS:
https://sites.google.com/view/virtual-comm-algebra-seminar