COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics


(To see scheduled colloquia please click here.)

Algebra Seminar: Algebraic methods in integer programming


1:10p.m. Neill 106W

Bala Krishnamoorthy

Abstract: An integer program is an optimization problem given in the form min{ c^T x | A x = b, x \in Z^n }, where A is an m x n integer matrix, b,c, and x are integer vectors. In this talk, I will provide a brief overview of the techniques used to solve integer programs which use concepts from algebra and algebraic geometry. Specifically, I will illustrate a geometric Buchberger algorithm proposed by Rekha Thomas which uses the concept of finding a Grobner basis of a toric ideal. Necessary background material will be discussed.