Unimodality conjecture for skew standard Young tableau distributions

Let $\lambda$ and $\mu$ be partitions with $\mu\subseteq\lambda$, and let $f_{\lambda\setminus\mu,i}(q)$ denote the major-index generating polynomial for standard Young tableaux of skew shape $\lambda\setminus\mu$ having $i$ descents. Skew-tableau unimodality conjecture. The polynomials $f_{\lambda\setminus\mu,i}(q)$ are unimodal.

This conjecture seeks to extend known unimodality results for major-index distributions from ordinary to skew standard Young tableaux. The supplied text gives no resolution status.