Fri, April 23, 2021
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5:00pm [5:30pm] L. T. Hoa, Institute of Mathematics, Hanoi, Vietnam
Description:
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

6:00pm