  We discuss a log-concavity conjecture on the reduced/stable Kronecker
coefficients, which is a certain generalization of Okounkov's conjecture on the
log-concavity of the Littlewood-Richardson coefficients and the Schur
log-concavity theorem of Lam-Postnikov-Pylyavskyy. We prove the conjecture in a
special case. We also consider some implications of this concavity. These are
informal notes akin to Okounkov's famous paper "Why would multiplicities be
log-concave?"
