Roger Behrend - Alternating sign matrices

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An alternating sign matrix (ASM) 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.  This talk will provide an elementary introduction to the combinatorics of ASMs, and will include an outline of a recent proof of a conjecture for the number of odd-order diagonally and antidiagonally symmetric ASMs.