Seminar on Discrete Mathematics: The combinatorics of alternating sign matrices

Speaker：Roger Behrend (Cardiff University）

Time：2026-9-9 15:00

Location：Zoom ID: 982-4902-7113（Password:454880）

Abstract:

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.