Log-concavity conjecture for parabolic Kostka numbers
Let λ\lambdaλ be a partition and let R=((m1l1),…,(mklk))R=((m_1^{l_1}), \dots, (m_k^{l_k}))R=((m1l1),…,(mklk)) be a sequence of rectangular partitions. For an integer N≥1N \geq 1N≥1, define … Let Kλ,RK_{\lambda,R}Kλ,R denote t…