Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group
classification
🧮 math.AG
cs.CCmath.COmath.RT
keywords
alon-tarsiconjectureintegralsspecialcasecomplexityconjecturesconnections
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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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