Rimányi–Tarasov–Varchenko's explicit Wronskian presentation conjecture for partial flags

Let $Fl=Fl(v_1,\dots,v_k;N)$ be a partial flag variety. Introduce variables $\gamma^i_j$ for $i=0,\dots,n$ and $j=1,\dots,\dim(\mathcal{R}_i)$, and let $Sym(\gamma)$ be the invariants of $\mathbb{C}[\gamma^i_j]$ under $\prod_{i=0}^nS_{\dim(\mathcal{R}_i)}$. Let $W_Q$ be the $(n+1)\times(n+1)$ discrete Wronskian matrix displayed in the source, with quantum parameters $Q_i$. Rimányi–Tarasov–Varchenko's explicit presentation conjecture.

$$QK(Fl)\cong Sym(\gamma)/\det(W_Q)=\Lambda_y(\mathbb{C}^N).$$

This is the explicit form of the Wronskian presentation prediction. The source later states that it is proved for the full flag by the quasimap result, while the general partial-flag case is not established there.