3 problems

Odd-dimensional Hermitian isotropic Grassmannian conjecture. The function $S\mapsto p_S(L)$ is a valuated $\Delta$-matroid for every maximal isotropic subspace $L$. The even-dimens…

Belmans–Smirnov's conjecture. If $X$ is neither (co)minuscule nor (co)adjoint, then $X$ is not Hochschild global; equivalently, for some $i>0$ and some $j$,

Let $\IGr(n,2n+1)$ denote the odd isotropic Grassmannian parametrizing $n$-dimensional isotropic subspaces of a $(2n+1)$-dimensional vector space equipped with a nondegenerate skew…