Ajinkya More

Groebner Bases and Integer Programming

The theory of Grobner basis for modules over polynomial rings finds applications in Commutative Algebra, Algebraic Geometry and Combinatorics as well as in applied mathematical areas such as Integer Programming, Coding theory and Systems theory. I shall give an elementary introduction of the theory of Grobner basis and discuss its application to Integer programming problems. Algebra at the level of 593 will be assumed.