Seminar on Discrete Mathematics: The combinatorics of alternating sign matrices

报告人：Roger Behrend（英国卡迪夫大学）

时  间：2026年9月9日15:00

地  点：腾讯会议ID: 523-847-454

内容摘要:

An alternating sign matrix is a square matrix in which each entry is -1, 0 or 1, and along each row and column the nonzero entries alternate in sign, starting and ending with a 1. Many intriguing results for the enumeration of such matrices have been obtained using connections with the statistical mechanical six-vertex model.  In this talk, I will review some of these results for unrestricted alternating sign matrices, and for alternating sign matrices which are invariant under certain symmetry operations.

个人简介：

Roger Behrend, 英国卡迪夫大学教授，博士毕业于澳大利亚墨尔本大学。主要研究领域是代数组合和计数组合，2019年获得美国数学协会颁发的Robbins奖，主要结果发表在《Adv. Math.》，《J. Comb. Theory, Ser. A》等期刊上。

联系人：靳宇