Stephen McAteer

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Father of two, husband of one. PhD in mathematical physics. Lead data scientist at the Victorian Auditor-General's Office. Long suffering Essendon supporter.

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Image source: https://upload.wikimedia.org/wikipedia/commons/0/0b/Alternating_Sign_Matrices_of_Size_3.svg
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).

tags: performance audit - vago - report