The first bijective proof of the ASM theorem

Abstract:

Alternating sign matrices (ASMs) were introduced by Robbins and Rumsey in the early 1980s. Together with Mills they conjectured an enumerative formula for the number of ASMs of size \$n \times n\$, which was proved independently by Zeilberger and Kuperberg about 10 years later. In this talk, I will present the first bijective proof of this result. A crucial part is played by signed sets and sijections (bijections on signed sets). This is joint work with Ilse Fischer.

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.

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Meeting ID: 915 4733 5974