Speaker：Guoce Xin (Capital Normal University)

Time：2023-4-25, 14:30

Location：Tencent Meeting ID：541-829-235（No Password）

Abstract:

Constant term or residue evaluation is fundamental in Mathematics. Many problems in combinatorics, geometry, representation theory, especially problems related to linear Diophantine equations, can be converted using Macmahon's partition analysis to a constant term of an Elliott-rational function, where an Elliott rational function has denominator as a product of binomials. This type of problem can be solved theoretically, but is hard in practice. We will introduce the field of iterated Laurent series as a framework, and elementary algorithm using partial fraction decompositions. We talk about development in this area and applications to Integer Linear programming.