24 February 2009
A discussion of Kuperberg's proof of the alternating sign matrix conjecture (presentation)
Abstract: I will discuss Kuperberg’s alternate proof of the alternating sign matrix conjecture; that there are \[A(n) = \frac{1!4!7!…(3n-2)!}{n!(n+1)!…(2n-1)!}\] alternating sign matrices of order \(n\). \(A(n)\) also ennumerates the totally symmetric self complimentary plane partitions of size \(2n\) and many other objects, but there is no known bijective proof of this fact.
(talk given for the University of Melbourne, Department of Mathematics, Mathematical Physics Reading Group on 24 Febuary 2009).