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Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group
Published 30 Oct 2014 in math.AG, cs.CC, math.CO, and math.RT | (1410.8585v1)
Abstract: We show the Alon-Tarsi conjecture on Latin squares is equivalent to a very special case of a conjecture made independently by Hadamard and Howe, and to the non-vanishing of some interesting integrals over SU(n). Our investigations were motivated by geometric complexity theory.
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