Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group (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.