4 problems

Virtual intersection-number conjecture. Those virtual intersection numbers are equal to the corresponding numbers $\widetilde{N}_{g,e}^v(Q(\alpha); u;V)_{\delta}$.

Equal-component conjecture. Exactly half of the $N^0(g,2n)$ maximal isotropic subbundles define sections of $\mathrm{OG}(V)_0$, and exactly half define sections of…

Rank comparison conjecture. For all $r\ge3$, one has

The rank-five maximal-isotropic enumeration conjecture. If $g\equiv1\pmod 4$ and $w_2(V)=0$, so that $V\cong S_W$ for a general $W\in\mathcal M\mathcal S_C(4,\mathcal O_C)$, then…